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Author : Yuqi Guo
Publisher : Springer Nature
ISBN 13 : 9819991714
Total Pages : 279 pages
Book Rating : 4.8/5 (199 download)
Download or read book Topics on Combinatorial Semigroups written by Yuqi Guo and published by Springer Nature. This book was released on with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerard Lallement
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)
Download or read book Semigroups and Combinatorial Applications written by Gerard Lallement and published by John Wiley & Sons. This book was released on 1979 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present those parts of the theory of semigroups that are directly related to automata theory, algebraic linguistics, and combinatorics. Publications in these mathematical disciplines contained methods and results pertaining to the algebraic theory of semigroups, and this has contributed to considerable enrichment of the theory, enlargement of its scope, and improved its potential to become a major domain of algebra. Semigroup theory appears to provide a general framework for unifying and clarifying a number of topics in fields that at first sight appear unrelated. This book is intended as a textbook for graduate students in mathematics and computer science, and as a reference book for researchers interested in associative structures.
Author : K. P. Shum
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)
Download or read book Semigroups written by K. P. Shum and published by . This book was released on 1998 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first International Conference on Semigroups and its Related Topics, held in Kunming, China, 1995, celebrated the establishment of the Institute of Pure Mathematics at Yunnan University, Kunming. The event attracted mathematicians from around the world, who contributed talks and papers on the new developments of semigroups and its applications. These included topics on algebraic semigroups, combinatorial semigroups, computer languages, codings, and universal algebras. Since the conference, the papers have been re-edited, and in some cases revised, and are now cummulated into this review volume, making it a lasting reference book on the development of Semigroup theory. Some survey articles written by experts in the field, and which were not presented at the conference, are also included in this book.
Author : Larry J. Cummings
Publisher : Academic Press
ISBN 13 : 1483264688
Total Pages : 416 pages
Book Rating : 4.4/5 (832 download)
Download or read book Combinatorics on Words written by Larry J. Cummings and published by Academic Press. This book was released on 2014-05-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics on Words: Progress and Perspectives covers the proceedings of an international meeting by the same title, held at the University of Waterloo, Canada on August 16-22, 1982. This meeting highlights the diverse aspects of combinatorics on words, including the Thue systems, topological dynamics, combinatorial group theory, combinatorics, number theory, and computer science. This book is organized into four parts encompassing 19 chapters. The first part describes the Thue systems with the Church-Rosser property. A Thue system will be called “Church-Rosser if two strings are congruent with respect to that system if and only if they have a common descendant, that is, a string that can be obtained applying only rewriting rules that reduce length. The next part deals with the problems related to the encoding of codes and the overlapping of words in rational languages. This part also explores the features of polynomially bounded DOL systems yield codes. These topics are followed by discussions of some combinatorial properties of metrics over the free monoid and the burnside problem of semigroups of matrices. The last part considers the ambiguity types of formal grammars, finite languages, computational complexity of algebraic structures, and the Bracket-context tree functions. This book will be of value to mathematicians and advance undergraduate and graduate students.
Author : Gilbert Baumslag
Publisher : Birkhäuser
ISBN 13 : 3034885873
Total Pages : 174 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topics in Combinatorial Group Theory written by Gilbert Baumslag and published by Birkhäuser. This book was released on 2012-12-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.
Author : Olexandr Ganyushkin
Publisher : Springer Science & Business Media
ISBN 13 : 1848002815
Total Pages : 318 pages
Book Rating : 4.8/5 (48 download)
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.
Author : Karl Heinrich Hofmann
Publisher : de Gruyter
ISBN 13 : 9783110124897
Total Pages : 0 pages
Book Rating : 4.1/5 (248 download)
Download or read book The Analytical and Topological Theory of Semigroups written by Karl Heinrich Hofmann and published by de Gruyter. This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents trends and developments in diverse areas of semigroup theory such as analysis, functional analysis and topology. Main topics include: Lie theory and algebraic geometry for semigroups; structure theory of compact semigroups; functional analysis on semigroups; relations to systems theory and a combinatorial number theory. Particular emphasis is given to applications in probability theory and semigroups of continuous functions. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Roger C. Lyndon
Publisher : Springer
ISBN 13 : 3642618960
Total Pages : 354 pages
Book Rating : 4.6/5 (426 download)
Download or read book Combinatorial Group Theory written by Roger C. Lyndon and published by Springer. This book was released on 2015-03-12 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews
Author : Mark V. Sapir
Publisher : Springer
ISBN 13 : 3319080318
Total Pages : 369 pages
Book Rating : 4.3/5 (19 download)
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.
Author : Masami It?
Publisher : World Scientific
ISBN 13 : 9810249489
Total Pages : 503 pages
Book Rating : 4.8/5 (12 download)
Download or read book Words, Languages, and Combinatorics Three written by Masami It? and published by World Scientific. This book was released on 2003 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research results published in this book range from pure mathematical theory (semigroup theory, discrete mathematics, etc.) to theoretical computer science, in particular formal languages and automata. The papers address issues in the algebraic and combinatorial theories of semigroups, words and languages, the structure theory of automata, the classification theory of formal languages and codes, and applications of these theories to various areas, like quantum and molecular computing, coding theory, and cryptography.
Author : B. Chandler
Publisher : Springer Science & Business Media
ISBN 13 : 1461394872
Total Pages : 240 pages
Book Rating : 4.4/5 (613 download)
Download or read book The History of Combinatorial Group Theory written by B. Chandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Author : Gilbert Baumslag
Publisher : Springer Science & Business Media
ISBN 13 : 1461397308
Total Pages : 235 pages
Book Rating : 4.4/5 (613 download)
Download or read book Algorithms and Classification in Combinatorial Group Theory written by Gilbert Baumslag and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.
Author : Ezra Miller
Publisher : Springer Science & Business Media
ISBN 13 : 9780387237077
Total Pages : 442 pages
Book Rating : 4.2/5 (37 download)
Download or read book Combinatorial Commutative Algebra written by Ezra Miller and published by Springer Science & Business Media. This book was released on 2005-06-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Author : M. Lothaire
Publisher :
ISBN 13 : 9781107103979
Total Pages : 504 pages
Book Rating : 4.1/5 (39 download)
Download or read book Algebraic Combinatorics on Words written by M. Lothaire and published by . This book was released on 2002 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics on words has arisen independently within several branches of mathematics, for instance number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's book Combinatorics on Words. Originally published in 2002, this book presents several more topics and provides deeper insights into subjects discussed in the previous volume. An introductory chapter provides the reader with all the necessary background material. There are numerous examples, full proofs whenever possible and a notes section discussing further developments in the area. This book is both a comprehensive introduction to the subject and a valuable reference source for researchers.
Author : Aldo de Luca
Publisher : Springer Science & Business Media
ISBN 13 : 3642598498
Total Pages : 251 pages
Book Rating : 4.6/5 (425 download)
Download or read book Finiteness and Regularity in Semigroups and Formal Languages written by Aldo de Luca and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rigorous and self-contained monograph on a central topic in theoretical computer science. For the first time in book form, original results from the last ten years are presented, some previously unpublished, using combinatorial and algebraic methods. These are mainly based on combinatorics on words and especially on the theory of "unavoidable regularities." Researchers will find important new results on semigroups and formal languages, as well as various applications for these methods.
Author : Valérie Berthé
Publisher : Birkhäuser
ISBN 13 : 331969152X
Total Pages : 578 pages
Book Rating : 4.3/5 (196 download)
Download or read book Sequences, Groups, and Number Theory written by Valérie Berthé and published by Birkhäuser. This book was released on 2018-04-09 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
Author : John M Howie
Publisher : World Scientific
ISBN 13 : 9814545430
Total Pages : 290 pages
Book Rating : 4.8/5 (145 download)
Download or read book Semigroups And Applications written by John M Howie and published by World Scientific. This book was released on 1998-12-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from leading experts in the rapidly developing field of semigroup theory. The subject, now some 60 years old, began by imitating group theory and ring theory, but quickly developed an impetus of its own, and the semigroup turned out to be the most useful algebraic object in theoretical computer science.
