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Título : Commutative Algebra : Noetherian and Non-Noetherian Perspectives Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Fontana, Marco ; Kabbaj, Salah-Eddine ; Olberding, Bruce ; Swanson, Irena Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Número de páginas: VIII, 492 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6990-3 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Commutative algebra rings Rings and Algebras Geometry Clasificación: 51 Matemáticas Resumen: Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters are internationally renowned for their important contributions to various aspects of current research in commutative algebra. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying commutative algebra Nota de contenido: - Introduction -- 1. Principal-like Ideals and Related Polynomial Content Conditions (D.D. Anderson) -- 2. Zero-divisor Graphs in Commutative Rings (D.F. Anderson, M. Axtell, J. Stickles) -- 3. Class Semigroups and T-class Semigroups of Domains (S. Bazzoni, S. Kabbaj) -- 4. Forcing Algebras, Syzygy Bundles, and Tight Closure (H. Brenner) -- 5. Beyond Totally Reflexive Modules and Back: A Survey on Gorenstein Dimensions (L.W. Christensen, H.B. Foxby, H. Holm) -- 6. On V-domains: A Survey (M. Fontana, M. Zafrullah) -- 7. Tensor Products of Algebras Over a Field (H. Haghighi, M. Tousi, S. Yassemi) -- 8. Multiplicative Ideal Theory in the Context of Commutative Monoids (F. Halter-Koch) -- 9. Projectively-Full Ideals and Compositions of Consistent Systems of Rank One Discrete Valuation Rings: A Survey (W. Heinzer, J. Ratliff, D. Rush) -- 10. Direct-sum Behavior of Modules Over One-dimensional Rings (R. Karr, R. Wiegand) -- 11. The Defect (F.V. Kuhlmann) -- 12. The Use of Ultrafilters to Study the Structure of a Commutative Ring (K.A. Loper) -- 13. Integrally Closed Overrings of Two-dimensional Noetherian Domains (B. Olberding) -- 14. Almost Perfect Domains and Their Modules (L. Salce) -- 15. Characteristic p Methods in Characteristic Zero via Ultraproducts (H. Schoutens) -- 16. Rees Valuations (I. Swanson) -- 17. Weak Normality and Seminormality (M. Vitulli) En línea: http://dx.doi.org/10.1007/978-1-4419-6990-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33151 Commutative Algebra : Noetherian and Non-Noetherian Perspectives [documento electrónico] / SpringerLink (Online service) ; Fontana, Marco ; Kabbaj, Salah-Eddine ; Olberding, Bruce ; Swanson, Irena . - New York, NY : Springer New York, 2011 . - VIII, 492 p : online resource.
ISBN : 978-1-4419-6990-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Commutative algebra rings Rings and Algebras Geometry Clasificación: 51 Matemáticas Resumen: Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters are internationally renowned for their important contributions to various aspects of current research in commutative algebra. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying commutative algebra Nota de contenido: - Introduction -- 1. Principal-like Ideals and Related Polynomial Content Conditions (D.D. Anderson) -- 2. Zero-divisor Graphs in Commutative Rings (D.F. Anderson, M. Axtell, J. Stickles) -- 3. Class Semigroups and T-class Semigroups of Domains (S. Bazzoni, S. Kabbaj) -- 4. Forcing Algebras, Syzygy Bundles, and Tight Closure (H. Brenner) -- 5. Beyond Totally Reflexive Modules and Back: A Survey on Gorenstein Dimensions (L.W. Christensen, H.B. Foxby, H. Holm) -- 6. On V-domains: A Survey (M. Fontana, M. Zafrullah) -- 7. Tensor Products of Algebras Over a Field (H. Haghighi, M. Tousi, S. Yassemi) -- 8. Multiplicative Ideal Theory in the Context of Commutative Monoids (F. Halter-Koch) -- 9. Projectively-Full Ideals and Compositions of Consistent Systems of Rank One Discrete Valuation Rings: A Survey (W. Heinzer, J. Ratliff, D. Rush) -- 10. Direct-sum Behavior of Modules Over One-dimensional Rings (R. Karr, R. Wiegand) -- 11. The Defect (F.V. Kuhlmann) -- 12. The Use of Ultrafilters to Study the Structure of a Commutative Ring (K.A. Loper) -- 13. Integrally Closed Overrings of Two-dimensional Noetherian Domains (B. Olberding) -- 14. Almost Perfect Domains and Their Modules (L. Salce) -- 15. Characteristic p Methods in Characteristic Zero via Ultraproducts (H. Schoutens) -- 16. Rees Valuations (I. Swanson) -- 17. Weak Normality and Seminormality (M. Vitulli) En línea: http://dx.doi.org/10.1007/978-1-4419-6990-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33151 Ejemplares
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Título : Commutative Algebra : Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Peeva, Irena Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Número de páginas: VIII, 707 p. 15 illus Il.: online resource ISBN/ISSN/DL: 978-1-4614-5292-8 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Associative rings Rings (Algebra) Commutative algebra and Algebras Geometry Clasificación: 51 Matemáticas Resumen: This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research Nota de contenido: Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies -- Paul Aspinwall: Some Applications of Commutative Algebra to String Theory -- Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics -- Christine Berkesch, Daniel Erman, and Manoj Kumini: Three avors of extremal Betti tables -- Manuel Blickle and Karl Schwede: p1 linear maps in algebra and geometry -- Markus Brodmann, Cao Luy Linh, and Maria-Helena Seiler: Castelnuovo-Mumford Regularity of Annihilators, Ext-Modules and Tor-Modules -- David Buchsbaum: Selections From the Letter-Place Panoply -- Aldo Conca, Emanuella DeNegri, and Maria-Evelina Rossi: Bounds for the Castelnuovo-Mumford regularity and Koszul algebras -- Marc Chardin: Powers of ideals: Betti numbers, cohomology and regularity -- Hailong Dao: Some homological properties of modules over a complete intersection, with applications -- Christopher Francisco, Huy Tai Ha, and Jeffrey Mermin: Powers of squarefree ideals and combinatorics -- Graham Evans and Phillip Griffith: A Brief History of Order Ideals -- Laurent Gruson, Steven Sam, and Jerzy Weyman: Moduli of Abelian varieties, Vinberg 0-groups, and free resolutions -- Melvin Hochster: F-purity, Frobenius splitting, and tight closure -- Craig Huneke: Hilbert-Kunz multiplicity and the F-signature -- Juan Migliore, Uwe Nagel, and Fabrizio Zanello : Pure O-sequences: known results, applications and open problems -- Jason McCullough and Alexandra Seceleanu: Bounding projective dimension -- Graham Leuschke and Roger Wiegand: Brauer-Thrall theory for Maximal Cohen-Macaulay modules -- Paul Monsky: Tight closure's failure to localize -- a self-contained exposition -- Giorgio Ottaviani: Introduction to the hyperdeterminant and to the rank of multidimensional matrices -- Henry Schenck and Jessica Sidman: Commutative Algebra of Subspace and Hyperplane Arrangements -- Wolmer Vasconcelos: Cohomological Degrees and Applications En línea: http://dx.doi.org/10.1007/978-1-4614-5292-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32248 Commutative Algebra : Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday [documento electrónico] / SpringerLink (Online service) ; Peeva, Irena . - New York, NY : Springer New York : Imprint: Springer, 2013 . - VIII, 707 p. 15 illus : online resource.
ISBN : 978-1-4614-5292-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Associative rings Rings (Algebra) Commutative algebra and Algebras Geometry Clasificación: 51 Matemáticas Resumen: This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Algebraic Combinatorics, Hyperplane Arrangements, Homological Algebra, and String Theory. The book aims to showcase the area, especially for the benefit of junior mathematicians and researchers who are new to the field; it will aid them in broadening their background and to gain a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research Nota de contenido: Marian Aprodu: Lazarfeld-Mukai bundles and applications to syzygies -- Paul Aspinwall: Some Applications of Commutative Algebra to String Theory -- Angelica Benito, Eleonore Faber, and Karen Smith: Measuring singularities with Frobenius: the basics -- Christine Berkesch, Daniel Erman, and Manoj Kumini: Three avors of extremal Betti tables -- Manuel Blickle and Karl Schwede: p1 linear maps in algebra and geometry -- Markus Brodmann, Cao Luy Linh, and Maria-Helena Seiler: Castelnuovo-Mumford Regularity of Annihilators, Ext-Modules and Tor-Modules -- David Buchsbaum: Selections From the Letter-Place Panoply -- Aldo Conca, Emanuella DeNegri, and Maria-Evelina Rossi: Bounds for the Castelnuovo-Mumford regularity and Koszul algebras -- Marc Chardin: Powers of ideals: Betti numbers, cohomology and regularity -- Hailong Dao: Some homological properties of modules over a complete intersection, with applications -- Christopher Francisco, Huy Tai Ha, and Jeffrey Mermin: Powers of squarefree ideals and combinatorics -- Graham Evans and Phillip Griffith: A Brief History of Order Ideals -- Laurent Gruson, Steven Sam, and Jerzy Weyman: Moduli of Abelian varieties, Vinberg 0-groups, and free resolutions -- Melvin Hochster: F-purity, Frobenius splitting, and tight closure -- Craig Huneke: Hilbert-Kunz multiplicity and the F-signature -- Juan Migliore, Uwe Nagel, and Fabrizio Zanello : Pure O-sequences: known results, applications and open problems -- Jason McCullough and Alexandra Seceleanu: Bounding projective dimension -- Graham Leuschke and Roger Wiegand: Brauer-Thrall theory for Maximal Cohen-Macaulay modules -- Paul Monsky: Tight closure's failure to localize -- a self-contained exposition -- Giorgio Ottaviani: Introduction to the hyperdeterminant and to the rank of multidimensional matrices -- Henry Schenck and Jessica Sidman: Commutative Algebra of Subspace and Hyperplane Arrangements -- Wolmer Vasconcelos: Cohomological Degrees and Applications En línea: http://dx.doi.org/10.1007/978-1-4614-5292-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32248 Ejemplares
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Título : Multiplicative Ideal Theory in Commutative Algebra : A Tribute to the Work of Robert Gilmer Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Brewer, James W ; Glaz, Sarah ; Heinzer, William J ; Olberding, Bruce M Editorial: Boston, MA : Springer US Fecha de publicación: 2006 Número de páginas: XV, 435 p Il.: online resource ISBN/ISSN/DL: 978-0-387-36717-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Commutative algebra rings Group theory Rings and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: For over forty years, Robert Gilmer’s numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmer’s most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer’s article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer’s contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is intended for researchers and graduate students in the field of commutative algebra Nota de contenido: Commutative rngs -- Robert Gilmer’s work on semigroup rings -- Numerical semigroup algebras -- Prüfer rings -- Subrings of zero-dimensional rings -- Old problems and new questions around integer-valued polynomials and factorial sequences -- Robert Gilmer’s contributions to the theory of integer-valued polynomials -- Progress on the dimension question for power series rings -- Some research on chains of prime ideals influenced by the writings of Robert Gilmer -- Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings -- An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations -- Generalized Dedekind domains -- Non-unique factorizations: a survey -- Mixed polynomial/power series rings and relatinos among their spectra -- Uppers to zero in polynomial rings -- On the dimension theory of polynomial rings over pullbacks -- Almost Dedekind domains which are not Dedekind -- Integrality properties of polynomial rings and semigroup rings -- Punctually free ideals -- Holomorphy rings of function fields -- The minimal number of generators of an invertible ideal -- About minimal morphisms -- What v-coprimality can do for you -- Some questions for further research -- Robert Gilmer’s published works -- Commutative Algebra at Florida State 1963–1968 En línea: http://dx.doi.org/10.1007/978-0-387-36717-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34834 Multiplicative Ideal Theory in Commutative Algebra : A Tribute to the Work of Robert Gilmer [documento electrónico] / SpringerLink (Online service) ; Brewer, James W ; Glaz, Sarah ; Heinzer, William J ; Olberding, Bruce M . - Boston, MA : Springer US, 2006 . - XV, 435 p : online resource.
ISBN : 978-0-387-36717-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Commutative algebra rings Group theory Rings and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: For over forty years, Robert Gilmer’s numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in non-Noetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twenty-four articles authored by Robert Gilmer’s most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer’s article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer’s contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is intended for researchers and graduate students in the field of commutative algebra Nota de contenido: Commutative rngs -- Robert Gilmer’s work on semigroup rings -- Numerical semigroup algebras -- Prüfer rings -- Subrings of zero-dimensional rings -- Old problems and new questions around integer-valued polynomials and factorial sequences -- Robert Gilmer’s contributions to the theory of integer-valued polynomials -- Progress on the dimension question for power series rings -- Some research on chains of prime ideals influenced by the writings of Robert Gilmer -- Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings -- An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations -- Generalized Dedekind domains -- Non-unique factorizations: a survey -- Mixed polynomial/power series rings and relatinos among their spectra -- Uppers to zero in polynomial rings -- On the dimension theory of polynomial rings over pullbacks -- Almost Dedekind domains which are not Dedekind -- Integrality properties of polynomial rings and semigroup rings -- Punctually free ideals -- Holomorphy rings of function fields -- The minimal number of generators of an invertible ideal -- About minimal morphisms -- What v-coprimality can do for you -- Some questions for further research -- Robert Gilmer’s published works -- Commutative Algebra at Florida State 1963–1968 En línea: http://dx.doi.org/10.1007/978-0-387-36717-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34834 Ejemplares
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Título : Algebraic Geometry and Commutative Algebra Tipo de documento: documento electrónico Autores: Bosch, Siegfried ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Universitext, ISSN 0172-5939 Número de páginas: X, 504 p Il.: online resource ISBN/ISSN/DL: 978-1-4471-4829-6 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Commutative algebra rings Geometry Rings and Algebras Clasificación: 51 Matemáticas Resumen: Algebraic geometry is a fascinating branch of mathematics that combines methods from both algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry (algebraic number theory, for example). The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts whilst more advanced readers can use the book to broaden their view on the subject. A separate part studies the necessary prerequisites from commutative algebra. The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. Therefore the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature Nota de contenido: Rings and Modules -- The Theory of Noetherian Rings -- Integral Extensions -- Extension of Coefficients and Descent -- Homological Methods: Ext and Tor -- Affine Schemes and Basic Constructions -- Techniques of Global Schemes -- Etale and Smooth Morphisms -- Projective Schemes and Proper Morphisms En línea: http://dx.doi.org/10.1007/978-1-4471-4829-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32195 Algebraic Geometry and Commutative Algebra [documento electrónico] / Bosch, Siegfried ; SpringerLink (Online service) . - London : Springer London : Imprint: Springer, 2013 . - X, 504 p : online resource. - (Universitext, ISSN 0172-5939) .
ISBN : 978-1-4471-4829-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Commutative algebra rings Geometry Rings and Algebras Clasificación: 51 Matemáticas Resumen: Algebraic geometry is a fascinating branch of mathematics that combines methods from both algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry (algebraic number theory, for example). The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts whilst more advanced readers can use the book to broaden their view on the subject. A separate part studies the necessary prerequisites from commutative algebra. The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. Therefore the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature Nota de contenido: Rings and Modules -- The Theory of Noetherian Rings -- Integral Extensions -- Extension of Coefficients and Descent -- Homological Methods: Ext and Tor -- Affine Schemes and Basic Constructions -- Techniques of Global Schemes -- Etale and Smooth Morphisms -- Projective Schemes and Proper Morphisms En línea: http://dx.doi.org/10.1007/978-1-4471-4829-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32195 Ejemplares
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Título : Algèbre commutative Tipo de documento: documento electrónico Autores: N. Bourbaki ; SpringerLink (Online service) Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2006 Número de páginas: VI, 356 p Il.: online resource ISBN/ISSN/DL: 978-3-540-33976-2 Idioma : Francés (fre) Palabras clave: Mathematics Commutative algebra rings Rings and Algebras Clasificación: 51 Matemáticas Resumen: Algèbre commutative, Chapitres 1 à 4 Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce premier volume du Livre d’Algèbre commutative, septième Livre du traité, est consacré aux concepts fondamentaux de l’algèbre commutative. Il comprend les chapitres : Modules plats ; Localisation ; Graduations, filtrations et topologies ; Idéaux premiers associés et décomposition primaire. Il contient également des notes historiques. Ce volume est une réimpression de l’édition de 1969 Nota de contenido: Modules plats -- Localisation -- Graduations, filtrations et topologies -- Idéaux premiers associés et décomposition primaire En línea: http://dx.doi.org/10.1007/978-3-540-33976-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34964 Algèbre commutative [documento electrónico] / N. Bourbaki ; SpringerLink (Online service) . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2006 . - VI, 356 p : online resource.
ISBN : 978-3-540-33976-2
Idioma : Francés (fre)
Palabras clave: Mathematics Commutative algebra rings Rings and Algebras Clasificación: 51 Matemáticas Resumen: Algèbre commutative, Chapitres 1 à 4 Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce premier volume du Livre d’Algèbre commutative, septième Livre du traité, est consacré aux concepts fondamentaux de l’algèbre commutative. Il comprend les chapitres : Modules plats ; Localisation ; Graduations, filtrations et topologies ; Idéaux premiers associés et décomposition primaire. Il contient également des notes historiques. Ce volume est une réimpression de l’édition de 1969 Nota de contenido: Modules plats -- Localisation -- Graduations, filtrations et topologies -- Idéaux premiers associés et décomposition primaire En línea: http://dx.doi.org/10.1007/978-3-540-33976-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34964 Ejemplares
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