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Título : Abstract Algebra Tipo de documento: documento electrónico Autores: Pierre Antoine Grillet ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 242 Número de páginas: XII, 674 p Il.: online resource ISBN/ISSN/DL: 978-0-387-71568-1 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Group theory and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: "Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt Nota de contenido: Groups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories En línea: http://dx.doi.org/10.1007/978-0-387-71568-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34527 Abstract Algebra [documento electrónico] / Pierre Antoine Grillet ; SpringerLink (Online service) . - New York, NY : Springer New York, 2007 . - XII, 674 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 242) .
ISBN : 978-0-387-71568-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Group theory and Algebras Theory Generalizations Clasificación: 51 Matemáticas Resumen: "Abstract Algebra" is a clearly written, self-contained basic algebra text for graduate students, with a generous amount of additional material that suggests the scope of contemporary algebra. The first chapters blend standard contents with a careful introduction to proofs with arrows. The last chapters, on universal algebras and categories, including tripleability, give valuable general views of algebra. There are over 1400 exercises, at varying degrees of difficulty. For the new edition, the author has completely rewritten the entire text, streamlining the first chapters for rapid access to Galois theory, removing some material, and adding introductions to Groebner bases, Ext and Tor, and other topics. From a review of the First Edition: ...combines an exceptionally accessible discussion of the basic material with a just as thorough and well-organized treatment of the many additional (advanced) topics included.... represents an outstanding introduction to modern abstract algebra as a whole, with many unique features. It captivates the reader by its remarkable diversity, comprehensiveness, elegant succinctness, and coherence. - Werner Kleinert, Zentralblatt Nota de contenido: Groups -- Structure of Groups -- Rings -- Field Extensions -- Galois Theory -- Fields with Orders or Valuations -- Commutative Rings -- Modules -- Semisimple Rings and Modules -- Projectives and Injectives -- Constructions -- Ext and Tor -- Algebras -- Lattices -- Universal Algebra -- Categories En línea: http://dx.doi.org/10.1007/978-0-387-71568-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34527 Ejemplares
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Título : Advanced Algebra : Along with a companion volume Basic Algebra Tipo de documento: documento electrónico Autores: Anthony W. Knapp ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Otro editor: Imprint: Birkhäuser Colección: Cornerstones Número de páginas: XXV, 730 p. 46 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4613-4 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Category theory (Mathematics) Homological algebra Field (Physics) Nonassociative rings Rings (Algebra) Number Non-associative and Algebras Theory Polynomials Geometry Theory, Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra *Chapters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, and algebraic geometry *Sections in two chapters relate the theory to the subject of Gröbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra and other branches of mathematics, particularly topology and complex analysis *Book carries on two prominent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra Nota de contenido: Transition to Modern Number Theory -- Wedderburn–Artin Ring Theory -- Brauer Group -- Homological Algebra -- Three Theorems in Algebraic Number Theory -- Reinterpretation with Adeles and Ideles -- Infinite Field Extensions -- Background for Algebraic Geometry -- The Number Theory of Algebraic Curves -- Methods of Algebraic Geometry En línea: http://dx.doi.org/10.1007/978-0-8176-4613-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34266 Advanced Algebra : Along with a companion volume Basic Algebra [documento electrónico] / Anthony W. Knapp ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008 . - XXV, 730 p. 46 illus : online resource. - (Cornerstones) .
ISBN : 978-0-8176-4613-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Category theory (Mathematics) Homological algebra Field (Physics) Nonassociative rings Rings (Algebra) Number Non-associative and Algebras Theory Polynomials Geometry Theory, Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Advanced Algebra: *Topics build upon the linear algebra, group theory, factorization of ideals, structure of fields, Galois theory, and elementary theory of modules as developed in Basic Algebra *Chapters treat various topics in commutative and noncommutative algebra, providing introductions to the theory of associative algebras, homological algebra, algebraic number theory, and algebraic geometry *Sections in two chapters relate the theory to the subject of Gröbner bases, the foundation for handling systems of polynomial equations in computer applications *Text emphasizes connections between algebra and other branches of mathematics, particularly topology and complex analysis *Book carries on two prominent themes recurring in Basic Algebra: the analogy between integers and polynomials in one variable over a field, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; it includes blocks of problems that illuminate aspects of the text and introduce additional topics Advanced Algebra presents its subject matter in a forward-looking way that takes into account the historical development of the subject. It is suitable as a text for the more advanced parts of a two-semester first-year graduate sequence in algebra. It requires of the reader only a familiarity with the topics developed in Basic Algebra Nota de contenido: Transition to Modern Number Theory -- Wedderburn–Artin Ring Theory -- Brauer Group -- Homological Algebra -- Three Theorems in Algebraic Number Theory -- Reinterpretation with Adeles and Ideles -- Infinite Field Extensions -- Background for Algebraic Geometry -- The Number Theory of Algebraic Curves -- Methods of Algebraic Geometry En línea: http://dx.doi.org/10.1007/978-0-8176-4613-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34266 Ejemplares
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Título : Basic Algebra : Along with a companion volume Advanced Algebra Tipo de documento: documento electrónico Autores: Anthony W. Knapp ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Otro editor: Imprint: Birkhäuser Colección: Cornerstones Número de páginas: XXV, 735 p. 46 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4529-8 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Commutative algebra Field theory (Physics) Group Matrix Linear and Multilinear Algebras, Theory Algebras Generalizations Polynomials Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout *Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study *Applications to science and engineering (e.g., the fast Fourier transform, the theory of error-correcting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs Nota de contenido: Preliminaries about the Integers, Polynomials, and Matrices -- Vector Spaces over ?, ?, and ? -- Inner-Product Spaces -- Groups and Group Actions -- Theory of a Single Linear Transformation -- Multilinear Algebra -- Advanced Group Theory -- Commutative Rings and Their Modules -- Fields and Galois Theory -- Modules over Noncommutative Rings En línea: http://dx.doi.org/10.1007/978-0-8176-4529-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34882 Basic Algebra : Along with a companion volume Advanced Algebra [documento electrónico] / Anthony W. Knapp ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006 . - XXV, 735 p. 46 illus : online resource. - (Cornerstones) .
ISBN : 978-0-8176-4529-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Commutative algebra Field theory (Physics) Group Matrix Linear and Multilinear Algebras, Theory Algebras Generalizations Polynomials Clasificación: 51 Matemáticas Resumen: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics and features of Basic Algebra: *Linear algebra and group theory build on each other continually *Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout *Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry *Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems *The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study *Applications to science and engineering (e.g., the fast Fourier transform, the theory of error-correcting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs Nota de contenido: Preliminaries about the Integers, Polynomials, and Matrices -- Vector Spaces over ?, ?, and ? -- Inner-Product Spaces -- Groups and Group Actions -- Theory of a Single Linear Transformation -- Multilinear Algebra -- Advanced Group Theory -- Commutative Rings and Their Modules -- Fields and Galois Theory -- Modules over Noncommutative Rings En línea: http://dx.doi.org/10.1007/978-0-8176-4529-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34882 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 : Un invito all’Algebra Tipo de documento: documento electrónico Autores: S. Leonesi ; SpringerLink (Online service) ; C. Toffalori Editorial: Milano : Springer Milan Fecha de publicación: 2006 Otro editor: Imprint: Springer Colección: UNITEXT, ISSN 2038-5714 Número de páginas: XVII, 432 pagg Il.: online resource ISBN/ISSN/DL: 978-88-470-0517-4 Idioma : Italiano (ita) Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Field theory (Physics) Mathematics, general and Algebras Theory Polynomials Clasificación: 51 Matemáticas Resumen: Il libro propone un corso base di algebra per gli studenti universitari, strutturato in base ai nuovi ordinamenti. Temi quali gruppi, anelli e campi sono dapprima introdotti attraverso esempi semplici (così come numeri, polinomi e permutazioni) e sono successivamente discussi in modo approfondito nella seconda parte del libro. Vengono anche trattate temi come applicazioni alla crittografia, codici, informatica, fornendo anche cenni storici. Il volume mira ad offrire un'introduzione all'algebra in modo schematico e facilmente comprensibile Nota de contenido: Cenni di Teoria degli insiemi -- I numeri naturali -- Razionali, reali, complessi e quaternioni -- Grafi e multigrafi -- Gruppi e permutazioni -- Anelli, matrici e polinomi -- Anelli commutativi unitari -- Vettori, matrici e sistemi lineari -- Campi En línea: http://dx.doi.org/10.1007/88-470-0517-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35053 Un invito all’Algebra [documento electrónico] / S. Leonesi ; SpringerLink (Online service) ; C. Toffalori . - Milano : Springer Milan : Imprint: Springer, 2006 . - XVII, 432 pagg : online resource. - (UNITEXT, ISSN 2038-5714) .
ISBN : 978-88-470-0517-4
Idioma : Italiano (ita)
Palabras clave: Mathematics Algebra Associative rings Rings (Algebra) Field theory (Physics) Mathematics, general and Algebras Theory Polynomials Clasificación: 51 Matemáticas Resumen: Il libro propone un corso base di algebra per gli studenti universitari, strutturato in base ai nuovi ordinamenti. Temi quali gruppi, anelli e campi sono dapprima introdotti attraverso esempi semplici (così come numeri, polinomi e permutazioni) e sono successivamente discussi in modo approfondito nella seconda parte del libro. Vengono anche trattate temi come applicazioni alla crittografia, codici, informatica, fornendo anche cenni storici. Il volume mira ad offrire un'introduzione all'algebra in modo schematico e facilmente comprensibile Nota de contenido: Cenni di Teoria degli insiemi -- I numeri naturali -- Razionali, reali, complessi e quaternioni -- Grafi e multigrafi -- Gruppi e permutazioni -- Anelli, matrici e polinomi -- Anelli commutativi unitari -- Vettori, matrici e sistemi lineari -- Campi En línea: http://dx.doi.org/10.1007/88-470-0517-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35053 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar PermalinkOperator Algebra and Dynamics / SpringerLink (Online service) ; Toke M. Carlsen ; Søren Eilers ; Restorff, Gunnar ; Sergei D. Silvestrov (2013)
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