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Contributions To General Algebra 11
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Book Synopsis Contributions to General Algebra 11 by : Ivan Chajda
Download or read book Contributions to General Algebra 11 written by Ivan Chajda and published by . This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Universal Algebra and Applications in Theoretical Computer Science by : Klaus Denecke
Download or read book Universal Algebra and Applications in Theoretical Computer Science written by Klaus Denecke and published by CRC Press. This book was released on 2002-01-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subject are long out of print and, to date, no other book has integrated these theories with the long-established work that supports them. Universal Algebra and Applications in Theoretical Computer Science introduces the basic concepts of universal algebra and surveys some of the newer developments in the field. The first half of the book provides a solid grounding in the core material. A leisurely pace, careful exposition, numerous examples, and exercises combine to form an introduction to the subject ideal for beginning graduate students or researchers from other areas. The second half of the book focuses on applications in theoretical computer science and advanced topics, including Mal'cev conditions, tame congruence theory, clones, and commutators. The impact of the advances in universal algebra on computer science is just beginning to be realized, and the field will undoubtedly continue to grow and mature. Universal Algebra and Applications in Theoretical Computer Science forms an outstanding text and offers a unique opportunity to build the foundation needed for further developments in its theory and in its computer science applications.
Book Synopsis Contributions to General Algebra 16 by : Ivan Chajda
Download or read book Contributions to General Algebra 16 written by Ivan Chajda and published by . This book was released on 2005 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Classification of countable models of complete theories. Рart 2 by : Sergey Sudoplatov
Download or read book Classification of countable models of complete theories. Рart 2 written by Sergey Sudoplatov and published by Litres. This book was released on 2022-01-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.
Book Synopsis Rings, Groups, and Algebras by : X. H. Cao
Download or read book Rings, Groups, and Algebras written by X. H. Cao and published by CRC Press. This book was released on 2020-12-22 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates and summarizes the most significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. Presents both survey articles and recent research results. Examines important topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory, valuation theory, and more."
Book Synopsis Groups St Andrews 2001 in Oxford: Volume 2 by : C. M. Campbell
Download or read book Groups St Andrews 2001 in Oxford: Volume 2 written by C. M. Campbell and published by Cambridge University Press. This book was released on 2003-11-06 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of the two-volume book contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'. The articles are contributed by a number of leading researchers and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles. The 'Groups St Andrews' proceedings volumes are a snapshot of the state of the art in group theory and they often play an important role in future developments in the subject.
Book Synopsis Algebras and Orders by : Ivo G. Rosenberg
Download or read book Algebras and Orders written by Ivo G. Rosenberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties.
Book Synopsis Classification of countable models of complete theories. Рart 1 by : Sergey Sudoplatov
Download or read book Classification of countable models of complete theories. Рart 1 written by Sergey Sudoplatov and published by Litres. This book was released on 2022-01-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the monograph, a classification of countable models of complete theories with respect to two basic characteristics (Rudin–Keisler preorders and distribution functions for numbers of limit models) is presented and applied to the most important classes of countable theories such as the class of Ehrenfeucht theories (i. e., complete first-order theories with finitely many but more than one pairwise non-isomorphic countable models), the class of small theories (i. e., complete first-order theories with countably many types), and the class of countable first-order theories with continuum many types. For realizations of basic characteristics of countable complete theories, syntactic generic constructions, generalizing the Jonsson–Fraïssé construction and the Hrushovski construction, are presented. Using these constructions a solution of the Goncharov–Millar problem (on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous) is described. Modifying the Hrushovski–Herwig generic construction, a solution of the Lachlan problem on the existence of stable Ehrenfeucht theories is shown. In the first part, a characterization of Ehrenfeuchtness, properties of Ehrenfeucht theories, generic constructions, and algebras for distributions of binary semi-isolating formulas of a complete theory are considered.The book is intended for specialists interested in Mathematical Logic.
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 1995-12-18 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
Download or read book Modes written by Anna B Romanowska and published by World Scientific Publishing Company. This book was released on 2002-10-04 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory and application of modes — structures that capture the common underlying algebra of convex sets, affine spaces and certain ordered sets. Modes appear in many branches of mathematics, particularly geometry and combinatorics, and have been used in computer science, economics, physics, and biology. The initial stage of the theory was set out in the authors' research monograph Modal Theory (published in 1985). The present book provides a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics from universal algebra, category theory and model theory, and the foundations of the theory of modes, as well as more advanced topics leading to the forefront of current research in the field.The authors have included a wide range of exercises, usually placed at the end of the section, and indexed alphabetically. Some exercises are simply designed to familiarize readers with the notation and concepts. Others are more difficult, extending the content of the sections in which they appear, and providing a foretaste of further research./a
Book Synopsis The Theory of Near-Rings by : Robert Lockhart
Download or read book The Theory of Near-Rings written by Robert Lockhart and published by Springer Nature. This book was released on 2021-11-14 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Monte Carlo and Quasi-Monte Carlo Methods 1996 by : Harald Niederreiter
Download or read book Monte Carlo and Quasi-Monte Carlo Methods 1996 written by Harald Niederreiter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo methods are numerical methods based on random sampling and quasi-Monte Carlo methods are their deterministic versions. This volume contains the refereed proceedings of the Second International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing which was held at the University of Salzburg (Austria) from July 9--12, 1996. The conference was a forum for recent progress in the theory and the applications of these methods. The topics covered in this volume range from theoretical issues in Monte Carlo and simulation methods, low-discrepancy point sets and sequences, lattice rules, and pseudorandom number generation to applications such as numerical integration, numerical linear algebra, integral equations, binary search, global optimization, computational physics, mathematical finance, and computer graphics. These proceedings will be of interest to graduate students and researchers in Monte Carlo and quasi-Monte Carlo methods, to numerical analysts, and to practitioners of simulation methods.
Book Synopsis Semimodular Lattices by : Manfred Stern
Download or read book Semimodular Lattices written by Manfred Stern and published by Cambridge University Press. This book was released on 1999-05-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra.
Book Synopsis Sequences and Their Applications - SETA 2008 by : Solomon W. Golomb
Download or read book Sequences and Their Applications - SETA 2008 written by Solomon W. Golomb and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008. The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.
Book Synopsis Advances in Cryptology — CRYPTO ’95 by : Don Coppersmith
Download or read book Advances in Cryptology — CRYPTO ’95 written by Don Coppersmith and published by Springer. This book was released on 2003-05-15 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Crypto ’95 conference was sponsored by the International Association for Cryptologic Research (IACR), in cooperation with the IEEE Computer - ciety Technical Committee on Security and Privacy, and the Computer Science Department of the University of California, Santa Barbara. It took place at the University of California, Santa Barbara, from August 27-31, 1995. This was the fifteenth annual Crypto conference; all have been held at UCSB. For the second time, proceedings were available at the conference. The General Chair, Stafford Tavares, was responsible for local organization and registration. The Program Committee considered 151 papers and selected 36 for pres- tation. There were also two invited talks. Robert Morris, Sr. gave a talk on “Ways of Losing Information,” which included some non-cryptographic means of leaking secrets that are often overlooked by cryptographers. The second talk, “Cryptography - Myths and Realities,” was given by Adi Shamir, this year’s IACR Distinguished Lecturer. Shamir is the second person to receive this honor, the first having been Gus Simmons at Crypto ’94. These proceedings contain revised versions of the 36 contributed talks. Each paper was sent to at least three members of the program committee for c- ments. Revisions were not checked on their scientific aspects. Some authors will write final versions of their papers for publication in refereed journals. Of course, the authors bear full responsibility for the contents of their papers.
Book Synopsis Algebraic Structures And Number Theory - Proceedings Of The First International Symposium by : S P Lam
Download or read book Algebraic Structures And Number Theory - Proceedings Of The First International Symposium written by S P Lam and published by World Scientific. This book was released on 1990-12-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this proceedings, recent development on various aspects of algebra and number theory were discussed. A wide range of topics such as group theory, ring theory, semi-group theory, topics on algebraic structures, class numbers, quadratic forms, reciprocity formulae were covered.
Book Synopsis Topics in Polynomials of One and Several Variables and Their Applications by : Themistocles M. Rassias
Download or read book Topics in Polynomials of One and Several Variables and Their Applications written by Themistocles M. Rassias and published by World Scientific. This book was released on 1993 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.