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M-Solid Varieties of Algebras: Advances in Mathematics, cartea 10

Autor Jörg Koppitz, Klaus Denecke
en Limba Engleză Paperback – 6 dec 2014
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.
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Specificații

ISBN-13: 9781489996626
ISBN-10: 1489996621
Pagini: 356
Ilustrații: XIV, 342 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.5 kg
Ediția:2006
Editura: Springer Us
Colecția Springer
Seria Advances in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Concise and user-friendly Covers both the standard topics on hyperequational theory and advanced topics Includes supplementary material: sn.pub/extras