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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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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 composĀ­ 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.

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