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Author : Alfred H. Clifford
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Partial Groupoid of Idempotents of a Regular Semigroup written by Alfred H. Clifford and published by . This book was released on 1974 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. S. S. Nambooripad
Publisher : American Mathematical Soc.
ISBN 13 : 0821822241
Total Pages : 132 pages
Book Rating : 4.8/5 (218 download)
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 132 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.
Author : P. G. Romeo
Publisher : Springer Nature
ISBN 13 : 9813348429
Total Pages : 249 pages
Book Rating : 4.8/5 (133 download)
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.
Author : Ben Silver
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895757
Total Pages : 224 pages
Book Rating : 4.8/5 (957 download)
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.
Author : Mark V. Lawson
Publisher : World Scientific
ISBN 13 : 9789810233167
Total Pages : 430 pages
Book Rating : 4.2/5 (331 download)
Download or read book Inverse Semigroups written by Mark V. Lawson and published by World Scientific. This book was released on 1998 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "this volume represents an outstanding contribution to the field. The resolute graduate student or mature researcher, alike, can find a wealth of directions for future work".Mathematical Reviews
Author :
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of the ... Symposium on Semigroups written by and published by . This book was released on 1984 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre A. Grillet
Publisher : Routledge
ISBN 13 : 1351417029
Total Pages : 417 pages
Book Rating : 4.3/5 (514 download)
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.
Author : Alfred Hoblitzelle Clifford
Publisher : American Mathematical Soc.
ISBN 13 : 0821802720
Total Pages : 370 pages
Book Rating : 4.8/5 (218 download)
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:
Author : Alan Paterson
Publisher : Springer Science & Business Media
ISBN 13 : 1461217741
Total Pages : 286 pages
Book Rating : 4.4/5 (612 download)
Download or read book Groupoids, Inverse Semigroups, and their Operator Algebras written by Alan Paterson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.
Author : Mario Petrich
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (49 download)
Download or read book Inverse Semigroups written by Mario Petrich and published by Wiley-Interscience. This book was released on 1984 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Pollák
Publisher :
ISBN 13 :
Total Pages : 764 pages
Book Rating : 4.:/5 (44 download)
Download or read book Algebraic Theory of Semigroups written by G. Pollák and published by . This book was released on 1979 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jorge Almeida
Publisher : Springer Science & Business Media
ISBN 13 : 1489926089
Total Pages : 325 pages
Book Rating : 4.4/5 (899 download)
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.
Author : K. P. Shum
Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.3/5 (91 download)
Download or read book Algebras and Combinatorics written by K. P. Shum and published by . This book was released on 1999 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the refereed and edited versions of papers presented at the First International Congress in Algebra & Combinatorics, held in July 1997 in Hong Kong. Research work in algebra and combinatorics, which has never been published before, is introduced, along with expository papers in semigroups, groups, rings, general algebras, ordered algebras, graphs and combinatorics. The work is a useful reference book for researchers and graduate students working in these fields of mathematics.
Author : T. E. Hall
Publisher : Academic Press
ISBN 13 : 1483267334
Total Pages : 266 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Thomas Eric Hall
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (222 download)
Download or read book The Set of Idempotents of a Completely Regular Semigroup as a Binary Algebra written by Thomas Eric Hall and published by . This book was released on 1995 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sudhakar Radhakrishnan
Publisher : BoD – Books on Demand
ISBN 13 : 1839694092
Total Pages : 142 pages
Book Rating : 4.8/5 (396 download)
Download or read book Coding Theory written by Sudhakar Radhakrishnan and published by BoD – Books on Demand. This book was released on 2022-05-25 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest developments, methods, approaches, and applications of coding theory in a wide variety of fields and endeavors. It consists of seven chapters that address such topics as applications of coding theory in networking and cryptography, wireless sensor nodes in wireless body area networks, the construction of linear codes, and more.
Author : E.S. Ljapin
Publisher : Springer Science & Business Media
ISBN 13 : 9401734836
Total Pages : 244 pages
Book Rating : 4.4/5 (17 download)
Download or read book The Theory of Partial Algebraic Operations written by E.S. Ljapin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation.
