Symmetric Inverse Semigroups
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Symmetric Inverse Semigroups Mathematical Surveys Monographs
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Author : Stephen Lipscomb
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-06-06
Symmetric Inverse Semigroups Mathematical Surveys Monographs written by Stephen Lipscomb and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-06 with MATHEMATICS categories.
This text is both an introduction to and a 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.
Inverse Semigroups
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Author : Mark V Lawson
language : en
Publisher: World Scientific
Release Date : 1998-11-06
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 1998-11-06 with Mathematics categories.
Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings. Contents:Introduction to Inverse SemigroupsExtending Partial SymmetriesThe Natural Partial OrderOrdered GroupoidsExtensions of Inverse SemigroupsFree Inverse SemigroupsE-unitary Inverse SemigroupsEnlargements0-E-unitary Inverse SemigroupsCategory Actions and Inverse Semigroups Readership: Mathematicians, and students of symmetry in the physical sciences. keywords:Semigroup Theory;Inverse Semigroup Theory;Category Theory;Groupoids;Ordered Groupoids;Cateory Actions;Symmetry;Partial Symmetry;Pseudogroups;Topological Groupoids “… 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
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.
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
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.
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.
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.
Semigroup Theory Proceedings Of The Monash Conference On Semigroup Theory In Honor Of G B Preston
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Author : T E Hall
language : en
Publisher: World Scientific
Release Date : 1991-05-21
Semigroup Theory Proceedings Of The Monash Conference On Semigroup Theory In Honor Of G B Preston written by T E Hall and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-05-21 with categories.
This conference celebrated the 65th birthday of Professor G B Preston of Monash University. Containing contributions from almost all his mathematical progeny, the proceedings is a tribute to his influence on semigroup and Australian mathematics.
Semigroups And Formal Languages
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Author : Jorge M. Andr
language : en
Publisher: World Scientific
Release Date : 2007
Semigroups And Formal Languages written by Jorge M. Andr and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages. The contributors cover a number of areas of current interest: from pseudovarieties and regular languages to ordered groupoids and one-relator groups, and from semigroup algebras to presentations of monoids and transformation semigroups. The papers are accessible to graduate students as well as researchers seeking new directions for future work.