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Structure Of Regular Semigroups
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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 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.
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.
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:
Book Synopsis Structure of Regular Semigroups, II by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups, II written by K. S. S. Nambooripad and published by . This book was released on 1989 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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:
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:
Book Synopsis Some Problems of Structure in Regular Semigroups by : Hal G. Moore
Download or read book Some Problems of Structure in Regular Semigroups written by Hal G. Moore and published by . This book was released on 1957 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Regular Semigroups by : Mario Petrich
Download or read book Structure of Regular Semigroups written by Mario Petrich and published by . This book was released on 1977 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structure of Regular Semigroups, Vol. II. Cross-connections by : K. S. S. Nambooripad
Download or read book Structure of Regular Semigroups, Vol. II. Cross-connections written by K. S. S. Nambooripad and published by . This book was released on 1989 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Structure of Concordant Semigroups-Ii by : P. G ROMEO
Download or read book Structure of Concordant Semigroups-Ii written by P. G ROMEO and published by LAP Lambert Academic Publishing. This book was released on 2010-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups are algebraic structures consisting of a non empty set together with an associative binary operation. The theory of semigroups has experienced a vigorous development during the last few decades to become an independent branch of algebra with applications to several branches of mathematics. The theory of semigroups had essentially two origns. One was an attempt to generalize both group theory and to a lesser extent ring theory to a system consisting of a single associative operation and the other consisted of an abstraction of the properties of the composition of transformation on a set. The study of the structure of semigroups grew as a central theme in semigroup research, among the various types of semigroups the class of regular semigroups are those which admits some sort of inverses and their structure theorems are well established. The class of non regular semigroups are less investigated and the present study is an attempt to formulate a structure theorem for concordant semigroups - an interesting class of non regular semigroups .
Download or read book Semigroups written by Stefan Schwarz and published by North Holland. This book was released on 1985 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Structure of Regular and Inverse Semigroups by : Karl E. Byleen
Download or read book The Structure of Regular and Inverse Semigroups written by Karl E. Byleen and published by . This book was released on 1977 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Semigroups by : Mario Petrich
Download or read book Introduction to Semigroups written by Mario Petrich and published by Merrill Publishing Company. This book was released on 1973 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Semigroups: Algebraic Theory And Applications To Formal Languages And Codes by : Celestina Bonzini
Download or read book Semigroups: Algebraic Theory And Applications To Formal Languages And Codes written by Celestina Bonzini and published by World Scientific. This book was released on 1993-10-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
