Contributions To Universal Algebra

Author : B. Csákány,J. Schmidt
Publisher : Elsevier
Page : 609 pages
File Size : 44,9 Mb
Release : 2014-05-15
Category : Mathematics
ISBN : 9781483103020

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Contributions to Universal Algebra by B. Csákány,J. Schmidt Pdf

Contributions to Universal Algebra focuses on the study of algebra. The compilation first discusses the congruence lattice of pseudo-simple algebras; elementary properties of limit reduced powers with applications to Boolean powers; and congruent lattices of 2-valued algebras. The book further looks at duality for algebras; weak homomorphisms of stone algebras; varieties of modular lattices not generated by their finite dimensional members; and remarks on algebraic operations of stone algebras. The text describes polynomial normal forms and the embedding of polynomial algebras; coverings in the lattice of varieties; embedding semigroups in semigroups generated by idempotents; and endomorphism semigroups and subgroupoid lattices. The book also discusses a report on sublattices of a free lattice, and then presents the cycles in finite semi-distributive lattices; cycles in S-lattices; and summary of results. The text also describes primitive subsets of algebras, ideals, normal sets, and congruences, as well as Jacobson’s density theorem. The book is a good source for readers wanting to study algebra.

Author : George Grätzer
Publisher : Springer Science & Business Media
Page : 601 pages
File Size : 44,8 Mb
Release : 2008-12-15
Category : Mathematics
ISBN : 9780387774879

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Universal Algebra by George Grätzer Pdf

Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.

Author : Johannes Czermak
Publisher : Unknown
Page : 424 pages
File Size : 52,6 Mb
Release : 1987
Category : Algebra
ISBN : CORNELL:31924051295602

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Contributions to General Algebra 5 by Johannes Czermak Pdf

Author : Ivo G. Rosenberg,Gert Sabidussi
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 55,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401706971

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Algebras and Orders by Ivo G. Rosenberg,Gert Sabidussi Pdf

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.

Author : Jorge Almeida,Gabriela Bordalo,Philip Dwinger
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 47,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489926081

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Lattices, Semigroups, and Universal Algebra by Jorge Almeida,Gabriela Bordalo,Philip Dwinger Pdf

This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.

Author : Stephen D. Comer
Publisher : Springer
Page : 290 pages
File Size : 44,7 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540396383

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Universal Algebra and Lattice Theory by Stephen D. Comer Pdf

Author : P.M. Cohn
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 51,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400983991

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Universal Algebra by P.M. Cohn Pdf

The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d'Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensive comments. particularly on Chapter VII and the supplementary chapters. I have also con sulted reviews of the first edition, as well as the Italian and Russian translations.

Author : Clifford Bergman
Publisher : CRC Press
Page : 324 pages
File Size : 44,9 Mb
Release : 2011-09-20
Category : Computers
ISBN : 9781439851296

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Universal Algebra by Clifford Bergman Pdf

Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author’s two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts of universal algebra and by introducing a variety of recent research topics. The first part of the book focuses on core components, including subalgebras, congruences, lattices, direct and subdirect products, isomorphism theorems, a clone of operations, terms, free algebras, Birkhoff’s theorem, and standard Maltsev conditions. The second part covers topics that demonstrate the power and breadth of the subject. The author discusses the consequences of Jónsson’s lemma, finitely and nonfinitely based algebras, definable principal congruences, and the work of Foster and Pixley on primal and quasiprimal algebras. He also includes a proof of Murskiĭ’s theorem on primal algebras and presents McKenzie’s characterization of directly representable varieties, which clearly shows the power of the universal algebraic toolbox. The last chapter covers the rudiments of tame congruence theory. Throughout the text, a series of examples illustrates concepts as they are introduced and helps students understand how universal algebra sheds light on topics they have already studied, such as Abelian groups and commutative rings. Suitable for newcomers to the field, the book also includes carefully selected exercises that reinforce the concepts and push students to a deeper understanding of the theorems and techniques.

Author : George A. Gratzer
Publisher : Princeton, N.J. : Van Nostrand
Page : 394 pages
File Size : 48,8 Mb
Release : 1968
Category : Algebra, Abstract
ISBN : UCAL:B4407349

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Universal Algebra by George A. Gratzer Pdf

Author : Janusz Czelakowski
Publisher : Springer
Page : 454 pages
File Size : 47,9 Mb
Release : 2018-03-20
Category : Philosophy
ISBN : 9783319747729

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Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science by Janusz Czelakowski Pdf

This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.

Author : Anonim
Publisher : Unknown
Page : 712 pages
File Size : 42,6 Mb
Release : 1999
Category : Algebra
ISBN : UOM:39015057304076

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Contributions to General Algebra by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 581 pages
File Size : 49,5 Mb
Release : 1979
Category : Electronic
ISBN : OCLC:878833305

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Universal Algebra by Anonim Pdf

Author : Alfred North Whitehead
Publisher : Unknown
Page : 624 pages
File Size : 46,6 Mb
Release : 1898
Category : Algebra
ISBN : HARVARD:32044080598196

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A Treatise on Universal Algebra by Alfred North Whitehead Pdf

Author : Hermann Kautschitsch,Winfried B. Müller,Wilfried Nöbauer
Publisher : Unknown
Page : 436 pages
File Size : 48,8 Mb
Release : 1979
Category : Algebra
ISBN : STANFORD:36105032603453

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Contributions to General Algebra by Hermann Kautschitsch,Winfried B. Müller,Wilfried Nöbauer Pdf

Author : George M. Bergman
Publisher : Springer
Page : 572 pages
File Size : 49,9 Mb
Release : 2015-02-05
Category : Mathematics
ISBN : 9783319114781

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An Invitation to General Algebra and Universal Constructions by George M. Bergman Pdf

Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.