Home eBooks Download › the q theory of finite semigroups

The Q Theory Of Finite Semigroups

Download The Q Theory Of Finite Semigroups PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Q Theory Of Finite Semigroups book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

The Q Theory Of Finite Semigroups

DOWNLOAD

Author : John Rhodes
language : en
Publisher: Springer
Release Date : 2010-12-06

The Q Theory Of Finite Semigroups written by John Rhodes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-06 with Mathematics categories.

This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.

The Q Theory Of Finite Semigroups

DOWNLOAD

Author : John Rhodes
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05

The Q Theory Of Finite Semigroups written by John Rhodes 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 2009-04-05 with Mathematics categories.

Finite Semigroups And Universal Algebra

DOWNLOAD

Author : Jorge Almeida
language : en
Publisher: World Scientific
Release Date : 1995-01-27

Finite Semigroups And Universal Algebra written by Jorge Almeida and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.

Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics. It fruitfully combines methods, ideas and constructions from algebra, combinatorics, logic and topology. In simple terms, the theory aims at a classification of finite semigroups in certain classes called “pseudovarieties”. The classifying characteristics have both structural and syntactical aspects, the general connection between them being part of universal algebra. Besides providing a foundational study of the theory in the setting of arbitrary abstract finite algebras, this book stresses the syntactical approach to finite semigroups. This involves studying (relatively) free and profinite free semigroups and their presentations. The techniques used are illustrated in a systematic study of various operators on pseudovarieties of semigroups. Contents:Finite Universal Algebra:Elements of Universal AlgebraOrder and TopologyFinite AlgebrasDecidabilityFinite Semigroups and Monoids:PreliminariesPermutativityOperators Relating Semigroups and MonoidsSemigroups Whose Regular D-Classes are SubsemigroupsThe JoinThe Semidirect ProductThe PowerFactorization of Implicit OperationsOpen Problems Readership: Mathematicians and computer scientists. keywords:Inite Semigroups;Finite Monoids;Universal Algebra;Recognizable Languages;Pseudovarieties;Pseudoidentities;Implicit Operations;Relatively Free Profinite Semigroups;Semidirect Products;Power Semigroups “This book is devoted to an exciting new field where author has made important contributions, and thus it is a most welcome addition to the existing literature. It will find its place on the bookshelves of many a specialist in semigroups, as well as species of algebraists and computer scientists, including graduate students.” Semigroup Forum “The book … constitutes an important contribution to the most active part of the present theory of finite semigroups. All overwhelming majority of the results included in it is very new and has been scattered over journals so far. The book does not cover all of the theory of semigroup … but it is extremely rich in material and ideas presented with skill and dedication. The book has already influenced the area essentially, and its influence will certainly grow … I think the book is a must for researchers in the area but it is also very useful for all those who want to trace modern developments in the theory of semigroups.” Mathematics Abstracts

Representation Theory Of Finite Monoids

DOWNLOAD

Author : Benjamin Steinberg
language : en
Publisher: Springer
Release Date : 2016-12-09

Representation Theory Of Finite Monoids written by Benjamin Steinberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-09 with Mathematics categories.

This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modern flavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion.

Semigroups

DOWNLOAD

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.

Semigroups Algorithms Automata And Languages

DOWNLOAD

Author : Gracinda M S Gomes
language : en
Publisher: World Scientific
Release Date : 2002-11-26

Semigroups Algorithms Automata And Languages written by Gracinda M S Gomes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-26 with Mathematics categories.

The thematic term on “Semigroups, Algorithms, Automata and Languages” organized at the International Centre of Mathematics (Coimbra, Portugal) in May–July 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science. This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included. Contents:Finite Semigroups: An Introduction to a Unified Theory of Pseudovarieties (J Almeida)On Existence Varieties of Regular Semigroups (K Auinger)Varieties of Languages (M J J Branco)A Short Introduction to Automatic Group Theory (C Choffrut)Some Results on Semigroup-Graded Rings (W D Munn)Profinite Groups and Applications to Finite Semigroups (L Ribes)Dynamics of Finite Semigroups (J Almeida)Finite Semigroups Imposing Tractable Constraints (A Bulatov et al.)On the Efficiency and Deficiency of Rees Matrix Semigroups (C M Campbell et al.)Some Pseudovariety Joins Involving Groups and Locally Trivial Semigroups (J C Costa)Partial Action of Groups on Relational Structures: A Connection Between Model Theory and Profinite Topology (T Coulbois)Some Relatives of Automatic and Hyperbolic Groups (M Hoffmann et al.)A Sampler of a Topological Approach to Inverse Semigroups (B Steinberg)Finite Semigroups and the Logical Description of Regular Languages (H Straubing)Diamonds are Forever: The Variety DA (P Tesson & D Thérien)Decidability Problems in Finite Semigroups (P G Trotter)and other papers Readership: Researchers, academics and graduate students in pure mathematics and computer science. Keywords:

Applications Of Automata Theory And Algebra

DOWNLOAD

Author : John L. Rhodes
language : en
Publisher: World Scientific
Release Date : 2010

Applications Of Automata Theory And Algebra written by John L. Rhodes and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup theory, automata and sequential machine theory, finite phase space physics, metabolic and evolutionary biology, epistemology, mathematical theory of psychoanalysis, philosophy, and game theory. The author thus introduced a completely original algebraic approach to complexity and the understanding of finite systems. The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available in print until now. This first published edition has been edited and updated by Chrystopher Nehaniv for the 21st century. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science and engineering. Co-founded by John Rhodes and Kenneth Krohn in 1962, algebraic automata theory has grown into a vibrant area of research, including the complexity of automata, and semigroups and machines from an algebraic viewpoint, and which also touches on infinite groups, and other areas of algebra. This book sets the stage for the application of algebraic automata theory to areas outside mathematics. The material and references have been brought up to date bythe editor as much as possible, yet the book retains its distinct character and the bold yet rigorous style of the author. Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of biological reactions and pathways; the relationships among coordinate systems, symmetry, and conservation principles in physics; discussion of "punctuated equilibrium" (prior to Stephen Jay Gould); games; and applications to psychology, psychoanalysis, epistemology, and the purpose of life. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering. Moreover, many parts of the book will be intelligible to non-mathematicians, including students and experts from diverse backgrounds.

Advances In The Theory Of Varieties Of Semigroups

DOWNLOAD

Author : Edmond W. H. Lee
language : en
Publisher: Springer Nature
Release Date : 2023-05-10

Advances In The Theory Of Varieties Of Semigroups written by Edmond W. H. Lee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-10 with Mathematics categories.

This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. New results with detailed proofs are also presented that answer previously unsolved fundamental problems. Featuring both a comprehensive overview as well as highlighting the author’s own significant contributions to the area, this book will help establish this subfield as a matter of timely interest. Advances in the Theory of Varieties of Semigroups will appeal to researchers in universal algebra and will be particularly valuable for specialists in semigroups.

Semigroups Theory And Applications

DOWNLOAD

Author : Helmut Jürgensen
language : en
Publisher: Springer
Release Date : 2006-11-14

Semigroups Theory And Applications written by Helmut Jürgensen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

The Algebraic Theory Of Semigroups Volume I

DOWNLOAD

Author : Alfred Hoblitzelle Clifford
language : en
Publisher: American Mathematical Soc.
Release Date : 1961-12-31

The Algebraic Theory Of Semigroups Volume I written by Alfred Hoblitzelle Clifford 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 1961-12-31 with Mathematics categories.

The material in this volume was presented in a second-year graduate course at Tulane University, during the academic year 1958-1959. The book aims at being largely self-contained, but it is assumed that the reader has some familiarity with sets, mappings, groups, and lattices. Only in Chapter 5 will more preliminary knowledge be required, and even there the classical definitions and theorems on the matrix representations of algebras and groups are summarized.

The Q Theory Of Finite Semigroups

Recent Posts