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ISBN: 9780792321439

ID: 6384862

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. 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. Books, Science and Geography~~Mathematics~~Algebra, Algebras And Orders~~Book~~9780792321439, , , , , , , , , ,, [PU: Kluwer Academic Publishers]

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ISBN: 9780792321439

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Algebras and Orders: Hardback: Kluwer Academic Publishers: 9780792321439: 28 Feb 1993: Proceedings of the NATO Advanced Study Institute and Seminaire de mathematiques superieures, Montreal, Canada, July 29-August 9, 1991 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. Algebra, , , , Algebras and Orders, I.G. Rosenberg, 9780792321439, Kluwer Academic Publishers, , , , ,, [PU: Kluwer Academic Publishers]

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ISBN: 9780792321439

[ED: Hardcover], [PU: Springer Netherlands], 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. xviii, 558 S. XVII, 553 p. 234 mm Versandfertig in 3-5 Tagen, DE, Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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ISBN: 9780792321439

ID: 978079232143

The book consists of the lectures presented at the NATO ASI on `Algebras and Orders'' held in 1991 at the Université de Montréal. The lectures cover a broad spectrum of topics in universal algebra, Boolean algebras, lattices and orders, and their links with graphs, relations, topology and theoretical computer science. More specifically, the contributions deal with the following topics: Abstract clone theory (W. Taylor); Hyperidentities and hypervarieties (D. Schweigert); Arithmetical algebras and varieties (A. Pixley); Boolean algebras with operators (B. Jonsson); Algebraic duality (B. Davey); Model-theoretic aspects of partial algebras (P. Burmeister); Free lattices (R. Freese); Algebraic ordered sets (M. Erné); Diagrams of orders (I. Rival); Essentially minimal groupoids (H. Machida, I.G. Rosenberg); and Formalization of predicate calculus (I. Fleischer). Most of the papers are up-to-date surveys written by leading researchers, or topics that are either new or have witnessed recent substantial progress. In most cases, the surveys are the first available in the literature. The book is accessible to graduate students and researchers. Books, Science and Nature, Algebras and Orders Books>Science and Nature, Springer Netherlands

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ISBN: 9780792321439

ID: 9780792321439

Mathematics; Algebra; Number Theory; Order, Lattices, Ordered Algebraic Structures; Discrete Mathematics in Computer Science; Mathematical Logic and Foundations; Topology Algebra, Arithmetic, Boolean algebra, Computer, calculus, computer science, theoretical computer science Books Book, Springer Science+Business Media

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** Details of the book - Algebras and Orders**

EAN (ISBN-13): 9780792321439

ISBN (ISBN-10): 079232143X

Hardcover

Publishing year: 1993

Publisher: Springer-Verlag GmbH

576 Pages

Weight: 1,017 kg

Language: eng/Englisch

Book in our database since 05.06.2007 14:17:06

Book found last time on 11.10.2017 09:49:04

ISBN/EAN: 079232143X

ISBN - alternate spelling:

0-7923-2143-X, 978-0-7923-2143-9

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