The Theory Of Finitely Generated Commutative Semigroups
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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.
Finitely Generated Commutative Monoids
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Author : J. C. Rosales
language : en
Publisher: Nova Publishers
Release Date : 1999
Finitely Generated Commutative Monoids written by J. C. Rosales and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancellative monoids, and from a presentation of a monoid, decide whether this monoid is cancellative, reduced, separative, finite, torsion free, group, affine, full, normal, etc. Of most interest to people working with semigroup theory, but also in other areas of algebra. Annotation copyrighted by Book News, Inc., Portland, OR
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.
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.
The Theory Of Finitely Generated Commutative Semigroups
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Author : László Rédei
language : en
Publisher:
Release Date : 1965
The Theory Of Finitely Generated Commutative Semigroups written by László Rédei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Commutative semigroups categories.
The theory of semigroups is in a rather mosaic-like state, not lacking in beautiful and important investigations but with many fields requiring further study. It is the absence of a theory of finitely generated commutative semigroups which is the aim of the present monograph--to create such a theory.
Lectures On Finitely Generated Solvable Groups
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Author : Katalin A. Bencsath
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-28
Lectures On Finitely Generated Solvable Groups written by Katalin A. Bencsath 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 2012-10-28 with Mathematics categories.
Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York. While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them. The study of finitely generated solvable groups involves many different threads; therefore these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra. Along with Baumslag’s Embedding Theorem for Finitely Generated Metabelian Groups, two theorems of Bieri and Strebel are presented to provide a solid foundation for understanding the fascinating class of finitely generated solvable groups. Examples are also supplied, which help illuminate many of the key concepts contained in the notes. Requiring only a modest initial group theory background from graduate and post-graduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective.
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.
Varieties Of Representations Of Finitely Generated Groups
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Author : Alexander Lubotzky
language : en
Publisher: American Mathematical Soc.
Release Date : 1985
Varieties Of Representations Of Finitely Generated Groups written by Alexander Lubotzky 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 1985 with Mathematics categories.
The Algebraic Theory Of Semigroups Volume Ii
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Author : Alfred Hoblitzelle Clifford
language : en
Publisher: American Mathematical Soc.
Release Date : 1961
The Algebraic Theory Of Semigroups Volume Ii written by Alfred Hoblitzelle Clifford 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 1961 with Group theory categories.
Multiplicative Ideal Theory In Commutative Algebra
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Author : James W. Brewer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-15
Multiplicative Ideal Theory In Commutative Algebra written by James W. Brewer 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 2006-12-15 with Mathematics categories.
This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.