The Cohomology Of Commutative Semigroups
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The Cohomology Of Commutative Semigroups
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Author : Pierre Antoine Grillet
language : en
Publisher: Springer Nature
Release Date : 2022-09-28
The Cohomology Of Commutative Semigroups written by Pierre Antoine Grillet and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Mathematics categories.
This book provides an organized exposition of the current state of the theory of commutative semigroup cohomology, a theory which was originated by the author and has matured in the past few years. The work contains a fundamental scientific study of questions in the theory. The various approaches to commutative semigroup cohomology are compared. The problems arising from definitions in higher dimensions are addressed. Computational methods are reviewed. The main application is the computation of extensions of commutative semigroups and their classification. Previously the components of the theory were scattered among a number of research articles. This work combines all parts conveniently in one volume. It will be a valuable resource for future students of and researchers in commutative semigroup cohomology and related areas.
Commutative Semigroups
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Author : P.A. Grillet
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-07-31
Commutative Semigroups written by P.A. Grillet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-31 with Mathematics categories.
This is the first book about commutative semigroups in general. Emphasis is on structure but the other parts of the theory are at least surveyed and a full set of about 850 references is included. The book is intended for mathematicians who do research on semigroups or who encounter commutative semigroups in their research.
Semigroups
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Author : Pierre A. Grillet
language : en
Publisher: Routledge
Release Date : 2017-11-22
Semigroups written by Pierre A. Grillet and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
This work offers concise coverage of the structure theory of semigroups. It examines constructions and descriptions of semigroups and emphasizes finite, commutative, regular and inverse semigroups. Many structure theorems on regular and commutative semigroups are introduced.;College or university bookstores may order five or more copies at a special student price which is available upon request from Marcel Dekker, Inc.
Special Classes Of Semigroups
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Author : A. Nagy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Special Classes Of Semigroups written by A. Nagy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.
The Theory Of Finitely Generated Commutative Semigroups
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Author : L. Rédei
language : en
Publisher: Elsevier
Release Date : 2014-07-10
The Theory Of Finitely Generated Commutative Semigroups written by L. Rédei and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
The Theory of Finitely Generated Commutative Semigroups describes a theory of finitely generated commutative semigroups which is founded essentially on a single "fundamental theorem" and exhibits resemblance in many respects to the algebraic theory of numbers. The theory primarily involves the investigation of the F-congruences (F is the the free semimodule of the rank n, where n is a given natural number). As applications, several important special cases are given. This volume is comprised of five chapters and begins with preliminaries on finitely generated commutative semigroups before turning to a discussion of the problem of determining all the F-congruences as the fundamental problem of the proposed theory. The next chapter lays down the foundations of the theory by defining the kernel functions and the fundamental theorem. The elementary properties of the kernel functions are then considered, along with the ideal theory of free semimodules of finite rank. The final chapter deals with the isomorphism problem of the theory, which is solved by reducing it to the determination of the equivalent kernel functions. This book should be of interest to mathematicians as well as students of pure and applied mathematics.
The Cohomology Of Monoids
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Author : Antonio M. Cegarra
language : en
Publisher: Springer Nature
Release Date : 2024
The Cohomology Of Monoids written by Antonio M. Cegarra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Algebra categories.
Zusammenfassung: This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech's original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-contained account of this cohomology that includes more recent significant developments that were previously scattered among various publications, along with completely new material. It summarizes the original Leech theory and provides a modern and thorough treatment of the cohomological classification of coextensions of both monoids and monoidal groupoids, including the case of monoids with operators. This cohomology is also compared to the classical Eilenberg-Mac Lane and Hochschild-Mitchell cohomologies. Connections are also established with the Lausch-Loganathan cohomology theory for inverse semigroups, the Gabriel-Zisman cohomology of simplicial sets, the Wells cohomology of small categories (also known as Baues-Wirsching cohomology), Grothendieck sheaf cohomology, and finally Beck's triple cohomology. It also establishes connections with Grillet's cohomology theory for commutative semigroups. The monograph is aimed at researchers in the theory of monoids, or even semigroups, and its interface with category theory, homological algebra, and related fields. However, it is also written to be accessible to graduate students in mathematics and mathematicians in general
Cohomology Of Groups
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Author :
language : en
Publisher: Academic Press
Release Date : 1969
Cohomology Of Groups written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
Cohomology of Groups
Commutative Semigroup Rings
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Author : Robert Gilmer
language : en
Publisher: University of Chicago Press
Release Date : 1984-03-15
Commutative Semigroup Rings written by Robert Gilmer and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03-15 with Mathematics categories.
Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.
Representations Of Commutative Semitopological Semigroups
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Author : C.F. Dunkl
language : en
Publisher: Springer
Release Date : 2006-11-15
Representations Of Commutative Semitopological Semigroups written by C.F. Dunkl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Algebraic Theory Of Semigroups
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Author : Alfred Hoblitzelle Clifford
language : en
Publisher:
Release Date : 1964
The Algebraic Theory Of Semigroups written by Alfred Hoblitzelle Clifford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Group theory categories.