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Science/Engineering T.S. Blyth - Lattices and Ordered Algebraic Structures

Posted on 2010-03-16




Name:Science/Engineering T.S. Blyth - Lattices and Ordered Algebraic Structures
ASIN/ISBN:1852339055
Language:English
File size:5.08 Mb
Publish Date: 2005
ISBN: 1852339055
Pages: 310
File Type: PDF
File Size: 5.08 MB
Other Info: Springer
   Science/Engineering T.S. Blyth - Lattices and Ordered Algebraic Structures

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T.S. Blyth - Lattices and Ordered Algebraic Structures

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: residuated mappings; Galois connections; modular, distributive, and complemented lattices; Boolean algebras; pseudocomplemented lattices; Stone algebras; Heyting algebras; ordered groups; lattice-ordered groups; representable groups; Archimedean ordered structures; ordered semigroups; naturally ordered regular and inverse Dubreil-Jacotin semigroups.

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.

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