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Introduction To Semigroups
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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 Classical Finite Transformation Semigroups by : Olexandr Ganyushkin
Download or read book Classical Finite Transformation Semigroups written by Olexandr Ganyushkin and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigroups: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. The book contains many exercises and historical comments and is directed first of all to both graduate and postgraduate students looking for an introduction to the theory of transformation semigroups, but also to tutors and researchers.
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:
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 Theory of Semigroups and Applications by : Kalyan B. Sinha
Download or read book Theory of Semigroups and Applications written by Kalyan B. Sinha and published by Springer. This book was released on 2017-07-12 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.
Book Synopsis A Short Course on Operator Semigroups by : Klaus-Jochen Engel
Download or read book A Short Course on Operator Semigroups written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-06-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Book Synopsis Semigroups of Linear Operators by : David Applebaum
Download or read book Semigroups of Linear Operators written by David Applebaum and published by Cambridge University Press. This book was released on 2019-08-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a graduate-level introduction to the theory of semigroups of operators.
Book Synopsis Inverse Semigroups, The Theory Of Partial Symmetries by : Mark V Lawson
Download or read book Inverse Semigroups, The Theory Of Partial Symmetries written by Mark V Lawson and published by World Scientific. This book was released on 1998-11-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Special Classes of Semigroups by : Attila Nagy
Download or read book Special Classes of Semigroups written by Attila Nagy and published by Springer Science & Business Media. This book was released on 2001-05-31 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.
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 One-Parameter Semigroups for Linear Evolution Equations by : Klaus-Jochen Engel
Download or read book One-Parameter Semigroups for Linear Evolution Equations written by Klaus-Jochen Engel and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
Author :John Mackintosh Howie Publisher :Oxford University Press on Demand ISBN 13 :9780198511946 Total Pages :351 pages Book Rating :4.5/5 (119 download)
Book Synopsis Fundamentals of Semigroup Theory by : John Mackintosh Howie
Download or read book Fundamentals of Semigroup Theory written by John Mackintosh Howie and published by Oxford University Press on Demand. This book was released on 1995 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an indispensable source for anyone with an interest in semigroup theory or whose research overlaps with this increasingly important and active field of mathematics. It clearly emphasizes "pure" semigroup theory, in particular the various classes of regular semigroups. More than 150 exercises, accompanied by relevant references to the literature, give pointers to areas of the subject not explicitly covered in the text.
Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy
Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.
Book Synopsis Semigroups of Linear Operators by : David Applebaum
Download or read book Semigroups of Linear Operators written by David Applebaum and published by Cambridge University Press. This book was released on 2019-08-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of semigroups of operators is one of the most important themes in modern analysis. Not only does it have great intellectual beauty, but also wide-ranging applications. In this book the author first presents the essential elements of the theory, introducing the notions of semigroup, generator and resolvent, and establishes the key theorems of Hille–Yosida and Lumer–Phillips that give conditions for a linear operator to generate a semigroup. He then presents a mixture of applications and further developments of the theory. This includes a description of how semigroups are used to solve parabolic partial differential equations, applications to Levy and Feller–Markov processes, Koopmanism in relation to dynamical systems, quantum dynamical semigroups, and applications to generalisations of the Riemann–Liouville fractional integral. Along the way the reader encounters several important ideas in modern analysis including Sobolev spaces, pseudo-differential operators and the Nash inequality.
Book Synopsis Profinite Semigroups and Symbolic Dynamics by : Jorge Almeida
Download or read book Profinite Semigroups and Symbolic Dynamics written by Jorge Almeida and published by Springer Nature. This book was released on 2020-09-10 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.
Book Synopsis Harmonic Analysis on Semigroups by : C. van den Berg
Download or read book Harmonic Analysis on Semigroups written by C. van den Berg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk» is positive definite for all finite choices of elements St, . . . , Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space.
Book Synopsis Numerical Semigroups by : J.C. Rosales
Download or read book Numerical Semigroups written by J.C. Rosales and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.