Inverse Semigroups
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Inverse Semigroups
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Author : Mario Petrich
language : en
Publisher: Wiley-Interscience
Release Date : 1984
Inverse Semigroups written by Mario Petrich and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Inverse Semigroups
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Author : Mark V. Lawson
language : en
Publisher: World Scientific
Release Date : 1998
Inverse Semigroups written by Mark V. Lawson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
"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
Groupoids Inverse Semigroups And Their Operator Algebras
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Author : Alan Paterson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Groupoids Inverse Semigroups And Their Operator Algebras written by Alan Paterson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Semigroups
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Author : T. E. Hall
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Semigroups written by T. E. Hall and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
Symmetric Inverse Semigroups
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Author : Stephen Lipscomb
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Symmetric Inverse Semigroups written by Stephen Lipscomb and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
With over 60 figures, tables, and diagrams, this text is both an intuitive introduction to and a rigorous study of finite symmetric inverse semigroups. The book presents much of the material on the theory of finite symmetric inverse semigroups, unifying the classical finite symmetric group theory with its semigroup analogue. A comment section at the end of each chapter provides new historical perspective. New proofs, new theorems and the use of multiple figures, tables, and diagrams to present complex ideas make this book current and highly readable.
Refinement Monoids Equidecomposability Types And Boolean Inverse Semigroups
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Author : Friedrich Wehrung
language : en
Publisher: Springer
Release Date : 2017-09-09
Refinement Monoids Equidecomposability Types And Boolean Inverse Semigroups written by Friedrich Wehrung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-09 with Mathematics categories.
Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.
Semigroups
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Author : Pierre A. Grillet
language : en
Publisher: Routledge
Release Date : 2017-11-22
Semigroups written by Pierre A. Grillet and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
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 I
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Author : K. S. S. Nambooripad
language : en
Publisher: American Mathematical Soc.
Release Date : 1979
Structure Of Regular Semigroups I written by K. S. S. Nambooripad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
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.
Finite Inverse Semigroups And Amalgamation
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Author : Thomas Eric Hall
language : en
Publisher:
Release Date : 1986
Finite Inverse Semigroups And Amalgamation written by Thomas Eric Hall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Inverse semigroups categories.
Inverse Semigroups Whose Lattices Of Full Inverse Subsemigroups Are Modular
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Author : K. G. Johnston
language : en
Publisher:
Release Date : 1986
Inverse Semigroups Whose Lattices Of Full Inverse Subsemigroups Are Modular written by K. G. Johnston and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Inverse semigroups categories.