Structure Of Regular Semigroups I

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Structure of Regular Semigroups. I

Author : K. S. S. Nambooripad
Publisher : American Mathematical Soc.
ISBN 13 : 0821822241
Total Pages : 119 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Structure of Regular Semigroups. I by : K. S. S. Nambooripad

Download or read book Structure of Regular Semigroups. I written by K. S. S. Nambooripad and published by American Mathematical Soc.. This book was released on 1979 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of regular semigroups is studied in full generality. The principal tool used in this is the concept of a (regular) biordered set which abstractly characterizes the set of idempotents of a regular semigroup. The category of inductive groupoids is then defined as the category whose objects are pairs consisting of an ordered groupoid and an order-preserving functor of the chain groupoid of a biordered set whose vertex map is a bijection, and whose morphisms are certain commutative diagrams in the category of ordered groupoids. It is shown by an explicit construction that every regular semigroup can be constructed from an inductive groupoid and that the category of inductive groupoids is equivalent to the category of all regular semigroups. This construction is then applied to obtain the structure of all fundamental regular semigroups and all idempotent generated regular semigroups. The paper ends with a study of biordered sets of some important classes of regular semigroups.

Semigroups

Author : Pierre A. Grillet
Publisher : Routledge
ISBN 13 : 1351417029
Total Pages : 417 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Semigroups by : Pierre A. Grillet

Download or read book Semigroups written by Pierre A. Grillet and published by Routledge. This book was released on 2017-11-22 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Structure of Regular Semigroups

Author : K. S. S. Nambooripad
Publisher :
ISBN 13 : 9781470406288
Total Pages : pages
Book Rating : 4.4/5 (62 download)

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Book Synopsis Structure of Regular Semigroups by : K. S. S. Nambooripad

Download or read book Structure of Regular Semigroups written by K. S. S. Nambooripad and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Regular Semigroups as Extensions

Author : Francis J. Pastijn
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Regular Semigroups as Extensions by : Francis J. Pastijn

Download or read book Regular Semigroups as Extensions written by Francis J. Pastijn and published by Pitman Advanced Publishing Program. This book was released on 1985 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Algebraic Theory of Semigroups, Volume II

Author : Alfred Hoblitzelle Clifford
Publisher : American Mathematical Soc.
ISBN 13 : 0821802720
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Algebraic Theory of Semigroups, Volume II by : Alfred Hoblitzelle Clifford

Download or read book The Algebraic Theory of Semigroups, Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Completely Regular Semigroup Varieties

Author : Mario Petrich
Publisher : Springer Nature
ISBN 13 : 3031428919
Total Pages : 248 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Completely Regular Semigroup Varieties by : Mario Petrich

Download or read book Completely Regular Semigroup Varieties written by Mario Petrich and published by Springer Nature. This book was released on with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups, Algorithms, Automata, and Languages

Author : Gracinda M. S. Gomes
Publisher : World Scientific
ISBN 13 : 981238099X
Total Pages : 526 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Semigroups, Algorithms, Automata, and Languages by : Gracinda M. S. Gomes

Download or read book Semigroups, Algorithms, Automata, and Languages written by Gracinda M. S. Gomes and published by World Scientific. This book was released on 2002 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thematic term on ?Semigroups, Algorithms, Automata and Languages? organized at the International Centre of Mathematics (Coimbra, Portugal) in May-July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science.This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included.

Algebraic Structures and Applications

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030418502
Total Pages : 976 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Semigroups

Author : T. E. Hall
Publisher : Academic Press
ISBN 13 : 1483267334
Total Pages : 266 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Semigroups by : T. E. Hall

Download or read book Semigroups written by T. E. Hall and published by Academic Press. This book was released on 2014-05-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.

Ordered Structure And Algebra Of Computer Languages - Proceedings Of The Conference

Author : Kar Ping Shum
Publisher : World Scientific
ISBN 13 : 9814553638
Total Pages : 370 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Ordered Structure And Algebra Of Computer Languages - Proceedings Of The Conference by : Kar Ping Shum

Download or read book Ordered Structure And Algebra Of Computer Languages - Proceedings Of The Conference written by Kar Ping Shum and published by World Scientific. This book was released on 1993-04-16 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups, Categories, and Partial Algebras

Author : P. G. Romeo
Publisher : Springer Nature
ISBN 13 : 9813348429
Total Pages : 249 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Semigroups, Categories, and Partial Algebras by : P. G. Romeo

Download or read book Semigroups, Categories, and Partial Algebras written by P. G. Romeo and published by Springer Nature. This book was released on 2021-03-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.

Lattices, Semigroups, and Universal Algebra

Author : Jorge Almeida
Publisher : Springer Science & Business Media
ISBN 13 : 1489926089
Total Pages : 325 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Lattices, Semigroups, and Universal Algebra by : Jorge Almeida

Download or read book Lattices, Semigroups, and Universal Algebra written by Jorge Almeida and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.

Semigroups

Author : Stefan Schwarz
Publisher : North Holland
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Semigroups by : Stefan Schwarz

Download or read book Semigroups written by Stefan Schwarz and published by North Holland. This book was released on 1985 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups and Their Applications

Author : Simon M. Goberstein
Publisher : Springer Science & Business Media
ISBN 13 : 9789027724632
Total Pages : 230 pages
Book Rating : 4.7/5 (246 download)

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Book Synopsis Semigroups and Their Applications by : Simon M. Goberstein

Download or read book Semigroups and Their Applications written by Simon M. Goberstein and published by Springer Science & Business Media. This book was released on 1987-04-30 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most papers published in this volume are based on lectures presented at the Chico Conference on Semigroups held on the Chico campus of the Cal ifornia State University on April 10-12, 1986. The conference was spon sored by the California State University, Chico in cooperation with the Engineering Computer Sciences Department of the Pacific Gas and Electric Company. The program included seven 50-minute addresses and seventeen 30-minute lectures. Speakers were invited by the organizing committee consisting of S. M. Goberstein and P. M. Higgins. The purpose of the conference was to bring together some of the leading researchers in the area of semigroup theory for a discussion of major recent developments in the field. The algebraic theory of semigroups is growing so rapidly and new important results are being produced at such a rate that the need for another meeting was well justified. It was hoped that the conference would help to disseminate new results more rapidly among those working in semi groups and related areas and that the exchange of ideas would stimulate research in the subject even further. These hopes were realized beyond all expectations.

Completely Regular Semigroups

Author : Mario Petrich
Publisher : Wiley-Interscience
ISBN 13 : 9780471195719
Total Pages : 0 pages
Book Rating : 4.1/5 (957 download)

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Book Synopsis Completely Regular Semigroups by : Mario Petrich

Download or read book Completely Regular Semigroups written by Mario Petrich and published by Wiley-Interscience. This book was released on 1999-04-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and varieties of completely regular semigroups through kernals, and traces of congruences and Malcev products.

Semigroups, Algebras and Operator Theory

Author : P G Romeo
Publisher : Springer
ISBN 13 : 8132224884
Total Pages : 218 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Semigroups, Algebras and Operator Theory by : P G Romeo

Download or read book Semigroups, Algebras and Operator Theory written by P G Romeo and published by Springer. This book was released on 2015-07-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent developments in semigroup theory and operator algebras. They highlight current research activities on the structure theory of semigroups as well as the role of semigroup theoretic approaches to other areas such as rings and algebras. The deliberations and discussions at the conference point to future research directions in these areas. This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von Neumann algebras, operator theory and operator approximations. Interested researchers will find several avenues for exploring the connections between semigroup theory and the theory of operator algebras.

Nineteen Papers on Algebraic Semigroups

Author : Ben Silver
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895757
Total Pages : 224 pages
Book Rating : 4.8/5 (957 download)

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Book Synopsis Nineteen Papers on Algebraic Semigroups by : Ben Silver

Download or read book Nineteen Papers on Algebraic Semigroups written by Ben Silver and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.