Classical Finite Transformation Semigroups

Author : Olexandr Ganyushkin,Volodymyr Mazorchuk
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 43,5 Mb
Release : 2008-12-10
Category : Mathematics
ISBN : 9781848002814

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Classical Finite Transformation Semigroups by Olexandr Ganyushkin,Volodymyr Mazorchuk Pdf

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 : James East,Nik Ruškuc
Publisher : American Mathematical Society
Page : 144 pages
File Size : 43,7 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470462697

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Congruence Lattices of Ideals in Categories and (Partial) Semigroups by James East,Nik Ruškuc Pdf

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Author : Ho-Hon Leung
Publisher : Springer Nature
Page : 383 pages
File Size : 49,9 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9783031375385

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Recent Developments in Algebra and Analysis by Ho-Hon Leung Pdf

Author : Jürgensen,Rogério Reis
Publisher : Springer
Page : 298 pages
File Size : 45,7 Mb
Release : 2013-06-14
Category : Computers
ISBN : 9783642393105

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Descriptional Complexity of Formal Systems by Jürgensen,Rogério Reis Pdf

This book constitutes the refereed proceedings of the 15th International Workshop of Descriptional Complexity of Formal Systems, DCFS 2013, held in London, ON, Canada, in July 2013. The 22 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 46 submissions. The topics covered are automata, grammars, languages and other formal systems; various modes of operations and complexity measures; co-operating systems; succinctness of description of objects, state-explosion-like phenomena; circuit complexity of Boolean functions and related measures; size complexity and structural complexity of formal systems; trade-offs between computational models and mode of operation; applications of formal systems; for instance in software and hardware testing, in dialogue systems, in systems modeling or in modeling natural languages; and their complexity constraints; size or structural complexity of formal systems for modeling natural languages; complexity aspects related to the combinatorics of words; descriptional complexity in resource-bounded or structure-bounded environments; structural complexity as related to descriptional complexity; frontiers between decidability and undecidability; universality and reversibility; nature-motivated (bio-inspired) architectures and unconventional models of computing; Kolmogorov-Chaitin complexity, algorithmic information.

Author : Mahir Can,Zhenheng Li,Benjamin Steinberg,Qiang Wang
Publisher : Springer
Page : 360 pages
File Size : 52,8 Mb
Release : 2014-06-11
Category : Mathematics
ISBN : 9781493909384

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Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics by Mahir Can,Zhenheng Li,Benjamin Steinberg,Qiang Wang Pdf

This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: structure and representation theory of reductive algebraic monoids monoid schemes and applications of monoids monoids related to Lie theory equivariant embeddings of algebraic groups constructions and properties of monoids from algebraic combinatorics endomorphism monoids induced from vector bundles Hodge–Newton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics, while the remaining contributions are research articles containing previously unpublished results, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and Lex Renner showing that the algebraic semi groups are strongly π-regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics and the theory of algebraic group embeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings and algebraic combinatorics merged under the umbrella of algebraic monoids.

Author : Matthew Cook,Turlough Neary
Publisher : Springer
Page : 199 pages
File Size : 49,7 Mb
Release : 2016-06-01
Category : Computers
ISBN : 9783319393001

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Cellular Automata and Discrete Complex Systems by Matthew Cook,Turlough Neary Pdf

This volume constitutes the thoroughly refereed proceedings of the 22nd IFIP WG 1.5International Workshop on Cellular Automata and Discrete ComplexSystems, AUTOMATA 2016, held in Zurich, Switzerland, in June 2016. This volume contains 3 invited talks in full-paper length and 12 regularpapers, which were carefully reviewed and selected from a total of 23submissions. The papers feature research on all fundamental aspects of cellular automata and related discrete complex systems and deal with the following topics: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.

Author : Robert Lockhart
Publisher : Springer Nature
Page : 555 pages
File Size : 46,6 Mb
Release : 2021-11-14
Category : Mathematics
ISBN : 9783030817558

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The Theory of Near-Rings by Robert Lockhart Pdf

This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.

Author : Maureen Donnelly,Giancarlo Guizzardi
Publisher : IOS Press
Page : 368 pages
File Size : 51,8 Mb
Release : 2012
Category : Computers
ISBN : 9781614990833

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Formal Ontology in Information Systems by Maureen Donnelly,Giancarlo Guizzardi Pdf

The complex information systems which have evolved in recent decades rely on robust and coherent representations in order to function. Such representations and associated reasoning techniques constitute the modern discipline of formal ontology, which is now applied to fields such as artificial intelligence, computational linguistics, bioinformatics, GIS, conceptual modeling, knowledge engineering, information retrieval, and the semantic web. Ontologies are increasingly employed in a number of complex real-world application domains. For instance, in biology and medicine, more and more principle-based ontologies are being developed for the description of biological and biomedical phenomena. To be effective, such ontologies must work well together, and as they become more widely used, achieving coordinated development presents a significant challenge. This book presents collected articles from the 7th International Conference on Formal Ontologies (FOIS), held in Graz, Austria, in July 2012.FOIS is a forum which brings together representatives of all major communities involved in the development and application of ontologies to explore both theoretical issues and concrete applications in the field. The book is organized in eight sections, each of which deals with the ontological aspects of: bioinformatics; physical entities; artifacts and human resources; ontology evaluation; language and social relations; time and events; representation and the methodological aspects of ontological engineering. Providing a current overview of developments in formal ontology, this book will be of interest to all those whose work involves the application of ontologies, and to anybody wishing to keep abreast of advances in the field.

Author : Stephen Lipscomb
Publisher : American Mathematical Soc.
Page : 187 pages
File Size : 44,9 Mb
Release : 1996
Category : Inverse semigroups
ISBN : 9780821806272

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Symmetric Inverse Semigroups by Stephen Lipscomb Pdf

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.

Author : Cezar Câmpeanu,Florin Manea,Jeffrey Shallit
Publisher : Springer
Page : 217 pages
File Size : 53,9 Mb
Release : 2016-07-13
Category : Mathematics
ISBN : 9783319411149

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Descriptional Complexity of Formal Systems by Cezar Câmpeanu,Florin Manea,Jeffrey Shallit Pdf

his book constitutes the refereed proceedings of the 18th International Conference on Descriptional Complexity of Formal Systems, DCFS 2016, held in Bucharest, Romania, in July 2016. The 13 full papers presented together with 4 invited talks were carefully reviewed and selected from 21 submissions.Descriptional Complexity is a field in Computer Science that deals with the size of all kind of objects that occur in computational models, such as Turing Machines, finte automata, grammars, splicing systems and others. The topics of this conference are related to all aspects of descriptional complexity.

Author : Mohammad Ashraf,Asma Ali,Vincenzo De Filippis
Publisher : Springer Nature
Page : 492 pages
File Size : 41,7 Mb
Release : 2022-11-30
Category : Mathematics
ISBN : 9789811938986

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Algebra and Related Topics with Applications by Mohammad Ashraf,Asma Ali,Vincenzo De Filippis Pdf

This proceedings is a collection of research papers on algebra and related topics, most of which were presented at the International Conference on Algebra and Related Topics with Applications (ICARTA-19), held at the Department of Mathematics, Aligarh Muslim University, Aligarh, India, from 17–19 December 2019. It covers a wide range of topics on ring theory, coding theory, cryptography, and graph theory. In addition to highlighting the latest research being done in algebra, the book also addresses the abundant topics of algebra particularly semigroups, groups, derivations in rings, rings and modules, group rings, matrix algebra, triangular algebra, polynomial rings and lattice theory. Apart from these topics, the book also discusses applications in cryptology, coding theory, and graph theory.

Author : Nelma Moreira,Rogério Reis
Publisher : Springer
Page : 381 pages
File Size : 44,9 Mb
Release : 2012-08-27
Category : Computers
ISBN : 9783642316067

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Implementation and Application of Automata by Nelma Moreira,Rogério Reis Pdf

This book constitutes the thoroughly refereed papers of the 17th International Conference on Implementation and Application of Automata, CIAA 2012, held in Porto, Portugal, in July 2012. The 21 revised full papers presented together with 5 invited papers and 7 short papers were carefully selected from 53 submissions. The papers cover various topics such as automata applications in formal verification methods, natural language processing, pattern matching, data storage and retrieval, and bioinformatics, as well as theoretical work on automata theory.

Author : Herbert Toth
Publisher : World Scientific
Page : 573 pages
File Size : 55,6 Mb
Release : 2020-06-22
Category : Mathematics
ISBN : 9789811220364

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Relations: Concrete, Abstract, And Applied - An Introduction by Herbert Toth Pdf

The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are:

Author : Markus Holzer,Martin Kutrib,Giovanni Pighizzini
Publisher : Springer
Page : 329 pages
File Size : 53,5 Mb
Release : 2011-07-18
Category : Computers
ISBN : 9783642226007

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Descriptional Complexity of Formal Systems by Markus Holzer,Martin Kutrib,Giovanni Pighizzini Pdf

This book constitutes the refereed proceedings of the 13th International Workshop of Descriptional Complexity of Formal Systems 2011, held in Limburg, Germany, in July 2011. The 21 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 54 submissions. The topics covered are automata, grammars, languages and related systems, various measures and modes of operations (e.g., determinism and nondeterminism); trade-offs between computational models and/or operations; succinctness of description of (finite) objects; state explosion-like phenomena; circuit complexity of Boolean functions and related measures; resource-bounded or structure-bounded environments; frontiers between decidability and undecidability; universality and reversibility; structural complexity; formal systems for applications (e.g., software reliability, software and hardware testing, modeling of natural languages); nature-motivated (bio-inspired) architectures and unconventional models of computing; Kolmogorov complexity.

Author : Frank Drewes
Publisher : Springer Nature
Page : 276 pages
File Size : 41,7 Mb
Release : 2023
Category : Electronic books
ISBN : 9783031332647

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Developments in Language Theory by Frank Drewes Pdf

This book constitutes the refereed proceedings of the 27th International Conference on Developments in Language Theory, DLT 2023, held in Umeå, Sweden, during June 12–16, 2023. The 20 full papers included in this book were carefully reviewed and selected from 32 submissions (31 regular ones and one invited).The DLT conference series provides a forum for presenting current developments informal languages and automata. Its scope is very general and includes, among others, the following topics and areas: grammars, acceptors and transducers for words; trees and graphs; relations between formal languages and artificial neural networks; algebraic theories of automata; algorithmic, combinatorial, and algebraic properties of words and languages; variable length codes; symbolic dynamics; cellular automata; groups and semigroups generated by automata; polyominoes and multidimensional patterns; decidability questions; image manipulation and compression; efficient text algorithms; relationships to cryptography, concurrency, complexity theory, and logic; bio-inspired computing; and quantum computing.