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| Título : |
M-Solid Varieties of Algebras |
| Tipo de documento: |
documento electrónico |
| Autores: |
J. Koppitz ; SpringerLink (Online service) ; K. Denecke |
| Editorial: |
Boston, MA : Springer US |
| Fecha de publicación: |
2006 |
| Colección: |
Advances in Mathematics num. 10 |
| Número de páginas: |
XIV, 342 p |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-387-30806-7 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Programming languages (Electronic computers) Mathematical logic Algebra Group theory Ordered algebraic structures General Algebraic Systems Theory and Generalizations Order, Lattices, Structures Languages, Compilers, Interpreters Logic Formal Languages |
| Clasificación: |
51 Matemáticas |
| Resumen: |
M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups. The book aims to develop the theory of M-solid varieties as a system of mathematical discourse that is applicable in several concrete situations. It applies the general theory to two classes of algebraic structures, semigroups and semirings. Both these varieties and their subvarieties play an important role in computer science. A unique feature of this book is the use of Galois connections to integrate different topics. Galois connections form the abstract framework not only for classical and modern Galois theory, involving groups, fields and rings, but also for many other algebraic, topological, ordertheoretical, categorical and logical theories. This concept is used throughout the whole book, along with the related topics of closure operators, complete lattices, Galois closed subrelations and conjugate pairs of completely additive closure operators. Audience This book is intended for researchers in the fields of universal algebra, semigroups, and semirings; researchers in theoretical computer science; and students and lecturers in these fields |
| Nota de contenido: |
Basic Concepts -- Closure Operators and Lattices -- M-Hyperidentities and M-solid Varieties -- Hyperidentities and Clone Identities -- Solid Varieties of Arbitrary Type -- Monoids of Hypersubstitutions -- M-Solid Varieties of Semigroups -- M-solid Varieties of Semirings |
| En línea: |
http://dx.doi.org/10.1007/0-387-30806-7 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34774 |
M-Solid Varieties of Algebras [documento electrónico] / J. Koppitz ; SpringerLink (Online service) ; K. Denecke . - Boston, MA : Springer US, 2006 . - XIV, 342 p : online resource. - ( Advances in Mathematics; 10) . ISBN : 978-0-387-30806-7 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Programming languages (Electronic computers) Mathematical logic Algebra Group theory Ordered algebraic structures General Algebraic Systems Theory and Generalizations Order, Lattices, Structures Languages, Compilers, Interpreters Logic Formal Languages |
| Clasificación: |
51 Matemáticas |
| Resumen: |
M-Solid Varieties of Algebras provides a complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on M-solid varieties of semirings and semigroups. The book aims to develop the theory of M-solid varieties as a system of mathematical discourse that is applicable in several concrete situations. It applies the general theory to two classes of algebraic structures, semigroups and semirings. Both these varieties and their subvarieties play an important role in computer science. A unique feature of this book is the use of Galois connections to integrate different topics. Galois connections form the abstract framework not only for classical and modern Galois theory, involving groups, fields and rings, but also for many other algebraic, topological, ordertheoretical, categorical and logical theories. This concept is used throughout the whole book, along with the related topics of closure operators, complete lattices, Galois closed subrelations and conjugate pairs of completely additive closure operators. Audience This book is intended for researchers in the fields of universal algebra, semigroups, and semirings; researchers in theoretical computer science; and students and lecturers in these fields |
| Nota de contenido: |
Basic Concepts -- Closure Operators and Lattices -- M-Hyperidentities and M-solid Varieties -- Hyperidentities and Clone Identities -- Solid Varieties of Arbitrary Type -- Monoids of Hypersubstitutions -- M-Solid Varieties of Semigroups -- M-solid Varieties of Semirings |
| En línea: |
http://dx.doi.org/10.1007/0-387-30806-7 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34774 |
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