Overview

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.

Full Product Details

Author:   Ivo G. Rosenberg ,  Gert Sabidussi
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   389
Dimensions:   Width: 15.60cm , Height: 3.10cm , Length: 23.40cm
Weight:   2.160kg
ISBN:  

9780792321439

ISBN 10:   079232143
Pages:   558
Publication Date:   28 February 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Partial algebras — an introductory survey.- Duality theory on ten dollars a day.- Algebraic ordered sets and their generalizations.- A Boolean formalization of predicate calculus.- Lectures on free lattices.- A survey of Boolean algebras with operators.- Essentially minimal groupoids.- Functional and affine completeness and arithmetical varieties.- Reading, drawing, and order.- Hyperidentities.- Abstract clone theory.- Now Alouette Knows It All.

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