Lattices and Ordered Algebraic Structures

Lieferzeit: Lieferbar innerhalb 14 Tagen

96,29 

Universitext

ISBN: 1852339055
ISBN 13: 9781852339050
Autor: Blyth, T S
Verlag: Springer Verlag GmbH
Umfang: x, 304 S.
Erscheinungsdatum: 18.04.2005
Auflage: 1/2005
Produktform: Gebunden/Hardback
Einband: GEB

Lattices and Ordered Algebraic Structures provides a lucid and concise introduction to the basic results concerning the notion of an order. Although as a whole it is mainly intended for beginning postgraduates, the prerequisities are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent developments in the theory of residuated lattices and ordered regular semigroups. Topics covered include: [bulleted list] residuated mappings Galois connections modular, distributive, and complemented lattices Boolean algebras pseudocomplemented lattices Stone algebras Heyting algebras ordered groups latticeordered groups representable groups Archimedean ordered structures ordered semigroups naturally ordered regular and inverse Dubreil-Jacotin semigroups [end od bulleted list] Featuring material that has been hitherto available only in research articles, and an account of the range of applications of the theory, there are also many illustrative examples and numerous exercises throughout, making it ideal for use as a course text, or as a basic introduction to the field for researchers in mathematics, logic and computer science. T. S. Blyth is Professor Emeritus at St. Andrews University, UK

Artikelnummer: 1712336 Kategorie:

Beschreibung

InhaltsangabeOrdered sets. residuated mappings.- Lattices; lattice morphisms.- Regular equivalences.- Modular lattices.- Distributive lattices.- Complementation; Boolean algebras.- Pseudocomplementation; Stone and Heyting algebras.- Congruences; Subdirectly irreducible algebras.- Ordered groups.- Archimedean ordered structures.- Ordered semigroups; residuated semigroups.- Epimorphic group images; Dubreil-Jacotin semigroups.- Ordered regular semigroups.- Structure theorems.- References.- Index

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