Structure Of Regular Semigroups Vol Ii Cross Connections

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Structure of Regular Semigroups. I

Author : K. S. S. Nambooripad
Publisher : American Mathematical Soc.
ISBN 13 : 0821822241
Total Pages : 132 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 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.

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.

Semigroups, Algebras and Operator Theory

Author : P G Romeo
Publisher : Springer
ISBN 13 : 8132224884
Total Pages : 219 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 219 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.

Algebra and Its Applications

Author : Mohammad Ashraf
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110542404
Total Pages : 340 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Algebra and Its Applications by : Mohammad Ashraf

Download or read book Algebra and Its Applications written by Mohammad Ashraf and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume showcases mostly the contributions presented at the International Conference in Algebra and Its Applications held at the Aligarh Muslim University, Aligarh, India during November 12-14, 2016. Refereed by renowned experts in the field, this wide-ranging collection of works presents the state of the art in the field of algebra and its applications covering topics such as derivations in rings, category theory, Baer module theory, coding theory, graph theory, semi-group theory, HNP rings, Leavitt path algebras, generalized matrix algebras, Nakayama conjecture, near ring theory and lattice theory. All of the contributing authors are leading international academicians and researchers in their respective fields. Contents On Structure of ∗-Prime Rings with Generalized Derivation A characterization of additive mappings in rings with involution| Skew constacyclic codes over Fq + vFq + v2Fq Generalized total graphs of commutative rings: A survey Differential conditions for which near-rings are commutative rings Generalized Skew Derivations satisfying the second Posner’s theorem on Lie ideals Generalized Skew-Derivations on Lie Ideals in Prime Rings On generalized derivations and commutativity of prime rings with involution On (n, d)-Krull property in amalgamated algebra Pure ideals in ordered Γ-semigroups Projective ideals of differential polynomial rings over HNP rings Additive central m-power skew-commuting maps on semiprime rings A Note on CESS-Lattices Properties Inherited by Direct Sums of Copies of a Module Modules witnessing that a Leavitt path algebra is directly infinite Inductive Groupoids and Normal Categories of Regular Semigroups Actions of generalized derivations in Rings and Banach Algebras Proper Categories and Their Duals On Nakayama Conjecture and related conjectures-Review On construction of global actions for partial actions On 2-absorbing and Weakly 2-absorbing Ideals in Product Lattices Separability in algebra and category theory Annihilators of power values of generalized skew derivations on Lie ideals Generalized derivations on prime rings with involution

Algebra and its Applications

Author : Syed Tariq Rizvi
Publisher : Springer
ISBN 13 : 9811016518
Total Pages : 431 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Algebra and its Applications by : Syed Tariq Rizvi

Download or read book Algebra and its Applications written by Syed Tariq Rizvi and published by Springer. This book was released on 2016-11-18 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments and the latest research in algebra and related topics. The book allows aspiring researchers to update their understanding of prime rings, generalized derivations, generalized semiderivations, regular semigroups, completely simple semigroups, module hulls, injective hulls, Baer modules, extending modules, local cohomology modules, orthogonal lattices, Banach algebras, multilinear polynomials, fuzzy ideals, Laurent power series, and Hilbert functions. All the contributing authors are leading international academicians and researchers in their respective fields. Most of the papers were presented at the international conference on Algebra and its Applications (ICAA-2014), held at Aligarh Muslim University, India, from December 15–17, 2014. The book also includes papers from mathematicians who couldn't attend the conference. The conference has emerged as a powerful forum offering researchers a venue to meet and discuss advances in algebra and its applications, inspiring further research directions.

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:

Semigroups

Author : Stefan Schwarz
Publisher : North Holland
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.F/5 ( 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 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Ring Constructions and Applications

Author : Andrei V. Kelarev
Publisher : World Scientific
ISBN 13 : 9812799729
Total Pages : 218 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Ring Constructions and Applications by : Andrei V. Kelarev

Download or read book Ring Constructions and Applications written by Andrei V. Kelarev and published by World Scientific. This book was released on 2002 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs. Contents: Preliminaries; Graded Rings; Examples of Ring Constructions; The Jacobson Radical; Groups of Units; Finiteness Conditions; PI-Rings and Varieties; Gradings of Matrix Rings; Examples of Applications; Open Problems. Readership: Graduate students and researchers using ring constructions in their work.

An Introduction to Semigroup Theory

Author : John Mackintosh Howie
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Semigroup Theory by : John Mackintosh Howie

Download or read book An Introduction to Semigroup Theory written by John Mackintosh Howie and published by . This book was released on 1976 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the International Symposium on Theory of Regular Semigroups and Applications

Author :
Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the International Symposium on Theory of Regular Semigroups and Applications by :

Download or read book Proceedings of the International Symposium on Theory of Regular Semigroups and Applications written by and published by . This book was released on 1987 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nearrings, Nearfields And Related Topics

Author : Kuncham Syam Prasad
Publisher : World Scientific
ISBN 13 : 981320737X
Total Pages : 324 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Nearrings, Nearfields And Related Topics by : Kuncham Syam Prasad

Download or read book Nearrings, Nearfields And Related Topics written by Kuncham Syam Prasad and published by World Scientific. This book was released on 2016-11-28 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 772 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 772 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:

The Analytical and Topological Theory of Semigroups

Author : Karl H. Hofmann
Publisher : Walter de Gruyter
ISBN 13 : 3110856042
Total Pages : 413 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Analytical and Topological Theory of Semigroups by : Karl H. Hofmann

Download or read book The Analytical and Topological Theory of Semigroups written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 2011-05-03 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Combinatorial Algebra: Syntax and Semantics

Author : Mark V. Sapir
Publisher : Springer
ISBN 13 : 3319080318
Total Pages : 369 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Combinatorial Algebra: Syntax and Semantics by : Mark V. Sapir

Download or read book Combinatorial Algebra: Syntax and Semantics written by Mark V. Sapir and published by Springer. This book was released on 2014-10-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial Algebra: Syntax and Semantics provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod–Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass–Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several ``universal" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata. With over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the “Further reading and open problems” sections at the end of Chapters 2 –5. The book can also be used for self-study, engaging those beyond t he classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.

Functional Inequalities Markov Semigroups and Spectral Theory

Author : Fengyu Wang
Publisher : Elsevier
ISBN 13 : 0080532071
Total Pages : 391 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Functional Inequalities Markov Semigroups and Spectral Theory by : Fengyu Wang

Download or read book Functional Inequalities Markov Semigroups and Spectral Theory written by Fengyu Wang and published by Elsevier. This book was released on 2006-04-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.