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Commutative Semigroups

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Commutative Semigroups

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Author : P.A. Grillet
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

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 2013-06-29 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.

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.

Commutative Semigroups

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Author : P.A. Grillet
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-07-31

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 Semigroup Rings

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Author : Robert Gilmer
language : en
Publisher: University of Chicago Press
Release Date : 1984

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 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.

Semigroups

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Author : E. S. Li͡apin
language : en
Publisher: American Mathematical Soc.
Release Date : 1968

Semigroups written by E. S. Li͡apin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Mathematics categories.

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.

Semigroups And Their Subsemigroup Lattices

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Author : L.N. Shevrin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Semigroups And Their Subsemigroup Lattices written by L.N. Shevrin 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 2013-03-09 with Mathematics categories.

0.1. General remarks. For any algebraic system A, the set SubA of all subsystems of A partially ordered by inclusion forms a lattice. This is the subsystem lattice of A. (In certain cases, such as that of semigroups, in order to have the right always to say that SubA is a lattice, we have to treat the empty set as a subsystem.) The study of various inter-relationships between systems and their subsystem lattices is a rather large field of investigation developed over many years. This trend was formed first in group theory; basic relevant information up to the early seventies is contained in the book [Suz] and the surveys [K Pek St], [Sad 2], [Ar Sad], there is also a quite recent book [Schm 2]. As another inspiring source, one should point out a branch of mathematics to which the book [Baer] was devoted. One of the key objects of examination in this branch is the subspace lattice of a vector space over a skew field. A more general approach deals with modules and their submodule lattices. Examining subsystem lattices for the case of modules as well as for rings and algebras (both associative and non-associative, in particular, Lie algebras) began more than thirty years ago; there are results on this subject also for lattices, Boolean algebras and some other types of algebraic systems, both concrete and general. A lot of works including several surveys have been published here.

Structural Theory Of Automata Semigroups And Universal Algebra

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Author : Valery B. Kudryavtsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-18

Structural Theory Of Automata Semigroups And Universal Algebra written by Valery B. Kudryavtsev 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 2006-01-18 with Mathematics categories.

Several of the contributions to this volume bring forward many mutually beneficial interactions and connections between the three domains of the title. Developing them was the main purpose of the NATO ASI summerschool held in Montreal in 2003. Although some connections, for example between semigroups and automata, were known for a long time, developing them and surveying them in one volume is novel and hopefully stimulating for the future. Another aspect is the emphasis on the structural theory of automata that studies ways to contstruct big automata from small ones. The volume also has contributions on top current research or surveys in the three domains. One contribution even links clones of universal algebra with the computational complexity of computer science. Three contributions introduce the reader to research in the former East block.

Groups Modules And Model Theory Surveys And Recent Developments

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Author : Manfred Droste
language : en
Publisher: Springer
Release Date : 2017-06-02

Groups Modules And Model Theory Surveys And Recent Developments written by Manfred Droste and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-02 with Mathematics categories.

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.

Commutative Semigroups

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