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Algebraic Theory Of Quasivarieties
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Book Synopsis Algebraic Theory of Quasivarieties by : Viktor A. Gorbunov
Download or read book Algebraic Theory of Quasivarieties written by Viktor A. Gorbunov and published by Springer Science & Business Media. This book was released on 1998-09-30 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of quasivarieties constitutes an independent direction in algebra and mathematical logic and specializes in a fragment of first-order logic-the so-called universal Horn logic. This treatise uniformly presents the principal directions of the theory from an effective algebraic approach developed by the author himself. A revolutionary exposition, this influential text contains a number of results never before published in book form, featuring in-depth commentary for applications of quasivarieties to graphs, convex geometries, and formal languages. Key features include coverage of the Birkhoff-Mal'tsev problem on the structure of lattices of quasivarieties, helpful exercises, and an extensive list of references.
Book Synopsis Algebraic Theory of Quasivarieties by :
Download or read book Algebraic Theory of Quasivarieties written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebraic Theory of Quasivarieties of Heterogeneous Partial Algebras by : Peter Burmeister
Download or read book Algebraic Theory of Quasivarieties of Heterogeneous Partial Algebras written by Peter Burmeister and published by . This book was released on 2003 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Special Issue Algebraic Theory of Quasivarieties by : M. E. Adams
Download or read book Special Issue Algebraic Theory of Quasivarieties written by M. E. Adams and published by . This book was released on 2004 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Lattice of Subquasivarieties of a Locally Finite Quasivariety by : Jennifer Hyndman
Download or read book The Lattice of Subquasivarieties of a Locally Finite Quasivariety written by Jennifer Hyndman and published by Springer. This book was released on 2018-08-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. Particular attention is paid to the role of quasicritical algebras. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory of quasivarieties. Extensive references to the literature are provided throughout.
Book Synopsis The Algebraic Theory of Spinors and Clifford Algebras by : Claude Chevalley
Download or read book The Algebraic Theory of Spinors and Clifford Algebras written by Claude Chevalley and published by Springer Science & Business Media. This book was released on 1996-12-13 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1982, Claude Chevalley expressed three specific wishes with respect to the publication of his Works. First, he stated very clearly that such a publication should include his non technical papers. His reasons for that were two-fold. One reason was his life long commitment to epistemology and to politics, which made him strongly opposed to the view otherwise currently held that mathematics involves only half of a man. As he wrote to G. C. Rota on November 29th, 1982: "An important number of papers published by me are not of a mathematical nature. Some have epistemological features which might explain their presence in an edition of collected papers of a mathematician, but quite a number of them are concerned with theoretical politics ( . . . ) they reflect an aspect of myself the omission of which would, I think, give a wrong idea of my lines of thinking". On the other hand, Chevalley thought that the Collected Works of a mathematician ought to be read not only by other mathematicians, but also by historians of science.
Book Synopsis Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science by : Janusz Czelakowski
Download or read book Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science written by Janusz Czelakowski and published by Springer. This book was released on 2018-03-20 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Locally Convex Quasi *-Algebras and their Representations by : Maria Fragoulopoulou
Download or read book Locally Convex Quasi *-Algebras and their Representations written by Maria Fragoulopoulou and published by Springer. This book was released on 2020-04-08 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical Physics. They arise in a natural way by completing a *-algebra under a locally convex *-algebra topology, with respect to which the multiplication is separately continuous. Among other things, the book presents an unbounded representation theory of quasi *-algebras, together with an analysis of normed quasi *-algebras, their spectral theory and a study of the structure of locally convex quasi *-algebras. Special attention is given to the case where the locally convex quasi *-algebra is obtained by completing a C*-algebra under a locally convex *-algebra topology, coarser than the C*-topology. Introducing the subject to graduate students and researchers wishing to build on their knowledge of the usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.
Download or read book Algebraic Theories written by J. Adámek and published by Cambridge University Press. This book was released on 2010-11-18 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic theories, introduced as a concept in the 1960s, have been a fundamental step towards a categorical view of general algebra. Moreover, they have proved very useful in various areas of mathematics and computer science. This carefully developed book gives a systematic introduction to algebra based on algebraic theories that is accessible to both graduate students and researchers. It will facilitate interactions of general algebra, category theory and computer science. A central concept is that of sifted colimits - that is, those commuting with finite products in sets. The authors prove the duality between algebraic categories and algebraic theories and discuss Morita equivalence between algebraic theories. They also pay special attention to one-sorted algebraic theories and the corresponding concrete algebraic categories over sets, and to S-sorted algebraic theories, which are important in program semantics. The final chapter is devoted to finitary localizations of algebraic categories, a recent research area.
Book Synopsis Topics in Discrete Mathematics by : Martin Klazar
Download or read book Topics in Discrete Mathematics written by Martin Klazar and published by Springer Science & Business Media. This book was released on 2007-05-28 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises a collection of high quality papers in selected topics of Discrete Mathematics, to celebrate the 60th birthday of Professor Jarik Nešetril. Leading experts have contributed survey and research papers in the areas of Algebraic Combinatorics, Combinatorial Number Theory, Game theory, Ramsey Theory, Graphs and Hypergraphs, Homomorphisms, Graph Colorings and Graph Embeddings.
Book Synopsis Ordered Algebraic Structures by : Jorge Martínez
Download or read book Ordered Algebraic Structures written by Jorge Martínez and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the 28th of February through the 3rd of March, 2001, the Department of Math ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.
Book Synopsis Algebras and Lattices in Hawai'i: honoring Ralph Freese, Bill Lampe, and JB Nation by : Kira Adaricheva
Download or read book Algebras and Lattices in Hawai'i: honoring Ralph Freese, Bill Lampe, and JB Nation written by Kira Adaricheva and published by Lulu.com. This book was released on 2018-04-26 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference proceedings for Algebras and Lattices in Hawaii, honoring Ralph Freese, William Lampe, and JB Nation.
Book Synopsis Protoalgebraic Logics by : Janusz Czelakowski
Download or read book Protoalgebraic Logics written by Janusz Czelakowski and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].
Author :Anatolij Ivanovic Mal'cev Publisher :Springer Science & Business Media ISBN 13 :364265374X Total Pages :331 pages Book Rating :4.6/5 (426 download)
Book Synopsis Algebraic Systems by : Anatolij Ivanovic Mal'cev
Download or read book Algebraic Systems written by Anatolij Ivanovic Mal'cev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: As far back as the 1920's, algebra had been accepted as the science studying the properties of sets on which there is defined a particular system of operations. However up until the forties the overwhelming majority of algebraists were investigating merely a few kinds of algebraic structures. These were primarily groups, rings and lattices. The first general theoretical work dealing with arbitrary sets with arbitrary operations is due to G. Birkhoff (1935). During these same years, A. Tarski published an important paper in which he formulated the basic prin ciples of a theory of sets equipped with a system of relations. Such sets are now called models. In contrast to algebra, model theory made abun dant use of the apparatus of mathematical logic. The possibility of making fruitful use of logic not only to study universal algebras but also the more classical parts of algebra such as group theory was dis covered by the author in 1936. During the next twenty-five years, it gradually became clear that the theory of universal algebras and model theory are very intimately related despite a certain difference in the nature of their problems. And it is therefore meaningful to speak of a single theory of algebraic systems dealing with sets on which there is defined a series of operations and relations (algebraic systems). The formal apparatus of the theory is the language of the so-called applied predicate calculus. Thus the theory can be considered to border on logic and algebra.
Download or read book Algebraic Systems written by A. I. Malcev and published by Walter de Gruyter GmbH & Co KG. This book was released on 1973-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Algebraic Systems".
Book Synopsis Lattice Theory: Special Topics and Applications by : George Grätzer
Download or read book Lattice Theory: Special Topics and Applications written by George Grätzer and published by Birkhäuser. This book was released on 2016-10-08 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
