Algebras and Orders

Algebras and Orders

by Ivo G. Rosenberg
     
 

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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.

Overview

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.

Editorial Reviews

Booknews
Proceedings of a seminar held in Montreal in July and August 1991. Paper topics include an introductory survey to partial algebras; duality theory on ten dollars a day; algebraic ordered sets and their generalizations; a Boolean formalization of predicate calculus; free lattices; a survey of Boolean algebras with operators; essentially minimal groupoids; functional and affine completeness and arithmetical varieties; reading, drawing, and order; hyperidentities; and abstract clone theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9789048142439
Publisher:
Springer Netherlands
Publication date:
12/07/2010
Series:
NATO Science Series C: (closed), #389
Edition description:
Softcover reprint of hardcover 1st ed. 1993
Pages:
558
Product dimensions:
6.14(w) x 9.21(h) x 1.16(d)

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