Semigroups

Semigroups

Author: E. S. Li͡apin

Publisher: American Mathematical Soc.

Published: 1968

Total Pages: 542

ISBN-13: 9780821886410

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The q-theory of Finite Semigroups

The q-theory of Finite Semigroups

Author: John Rhodes

Publisher: Springer Science & Business Media

Published: 2009-04-05

Total Pages: 674

ISBN-13: 0387097813

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This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.


The Algebraic Theory of Semigroups, Volume I

The Algebraic Theory of Semigroups, Volume I

Author: Alfred Hoblitzelle Clifford

Publisher: American Mathematical Soc.

Published: 1961-12-31

Total Pages: 242

ISBN-13: 0821802712

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The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.


Semigroups: Algebraic Theory And Applications To Formal Languages And Codes

Semigroups: Algebraic Theory And Applications To Formal Languages And Codes

Author: Celestina Bonzini

Publisher: World Scientific

Published: 1993-10-29

Total Pages: 350

ISBN-13: 9814552569

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The proceedings present some new topics and techniques of semigroup theory. Papers by leading experts in this theory are collected. Since results on semigroups have naturally been employed in formal languages and codes, the focus is also on these directions.


Semirings: Algebraic Theory And Applications In Computer Science

Semirings: Algebraic Theory And Applications In Computer Science

Author: Hanns Joachim Weinert

Publisher: World Scientific

Published: 1998-10-30

Total Pages: 371

ISBN-13: 9814495697

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This book provides an introduction to the algebraic theory of semirings and, in this context, to basic algebraic concepts as e.g. semigroups, lattices and rings. It includes an algebraic theory of infinite sums as well as a detailed treatment of several applications in theoretical computer science. Complete proofs, various examples and exercises (some of them with solutions) make the book suitable for self-study. On the other hand, a more experienced reader who looks for information about the most common concepts and results on semirings will find cross-references throughout the book, a comprehensive bibliography and various hints to it.


M-Solid Varieties of Algebras

M-Solid Varieties of Algebras

Author: Jörg Koppitz

Publisher: Springer Science & Business Media

Published: 2006-02-10

Total Pages: 364

ISBN-13: 9780387308043

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A complete and systematic introduction to the fundamentals of the hyperequational theory of universal algebra, offering the newest results on solid varieties of semirings and semigroups. The book aims to develop the theory of solid varieties as a system of mathematical discourse that is applicable in several concrete situations. A unique feature of this book is the use of Galois connections to integrate different topics.


Algebra in the Stone-Cech Compactification

Algebra in the Stone-Cech Compactification

Author: Neil Hindman

Publisher: Walter de Gruyter

Published: 2011-12-23

Total Pages: 610

ISBN-13: 3110258358

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This is the second revised and extended edition of the successful book on the algebraic structure of the Stone-Čech compactification of a discrete semigroup and its combinatorial applications, primarily in the field known as Ramsey Theory. There has been very active research in the subject dealt with by the book in the 12 years which is now included in this edition. This book is a self-contained exposition of the theory of compact right semigroups for discrete semigroups and the algebraic properties of these objects. The methods applied in the book constitute a mosaic of infinite combinatorics, algebra, and topology. The reader will find numerous combinatorial applications of the theory, including the central sets theorem, partition regularity of matrices, multidimensional Ramsey theory, and many more.


Nineteen Papers on Algebraic Semigroups

Nineteen Papers on Algebraic Semigroups

Author: Ben Silver

Publisher: American Mathematical Soc.

Published: 1988-12-31

Total Pages: 224

ISBN-13: 9780821895757

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This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.