Algebras and Orders

ISBN-13: 9789048142439 / Angielski / Miękka / 2010 / 558 str.

Ivo G. Rosenberg; Gert Sabidussi

Opis

The book 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 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. Erne); 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."

Spis treści

Preface. Partial Algebras - An Introductory Survey; P. Burmeister. Duality Theory on Ten Dollars a Day; B.A. Davey. Algebraic Ordered Sets and their Generalizations; M. Erné. A Boolean Formalization of Predicate Calculus; I. Fleischer. Lectures on Free Lattices; R. Freese. A Survey of Boolean Algebras with Operators; B. Jónsson. Essentially Minimal Groupoids; H. Machida, I.G. Rosenberg. Functional and Affine Completeness and Arithmetical Varieties; A.F. Pixley. Reading, Drawing, and Order; I. Rival. Hyperidentities; D. Schweigert. Abstract Clone Theory; W. Taylor. Now Alouette Knows It All. Index.