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Algebras and Orders : NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES - I. G. Rosenberg

Algebras and Orders

NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES

By: I. G. Rosenberg (Editor), Gert Sabidussi (Editor)

Hardcover

Published: 28th February 1993
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The text consists of the lectures presented at the NATO ASI on "Algebras and Orders" held in 1991 at the Universite de Montreal. 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 topics covered include: abstract clone theory; hyperidentities and hypervarieties; arithmetical algebras and varieties; Boolean algebras with operators; algebraic duality; model-theoretic aspects of partial algebras; free lattices; algebraic ordered sets; diagrams of orders; essentially minimal groupoids, and formalization of predicate calculus. 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. The text is suitable for graduate students and researchers.

Preface
Participants
Contributors
Partial algebras - an introductory surveyp. 1
Duality theory on ten dollars a dayp. 71
Algebraic ordered sets and their generalizationsp. 113
A Boolean formalization of predicate calculusp. 193
Lectures on free latticesp. 199
A survey of Boolean algebras with operatorsp. 239
Essentially minimal groupoidsp. 287
Functional and affine completeness and arithmetical varietiesp. 317
Reading, drawing, and orderp. 359
Hyperidentitiesp. 405
Abstract clone theoryp. 507
Now Alouette Knows It Allp. 531
Indexp. 547
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792321439
ISBN-10: 079232143X
Series: NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 558
Published: 28th February 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.18
Weight (kg): 1.16