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Ockham Algebras

Name: Ockham Algebras
Brand: Oxford University Press
SKU: 04528047
Price: 26154 HUF
Availability: InStock
Author: T. S. Blyth
ISBN: 9780198599388

T. S. Blyth

J.C. Varlet

Language

English

Book Hardback

Libristo code: 04528047

Publishers Oxford University Press, October 1994

An Ockham algebra is a natural generalization of a well known and important notion of a boolean alge... Full description

Libristo code: 04528047

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26 154 Ft

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An Ockham algebra is a natural generalization of a well known and important notion of a boolean algebra. Regarding the latter as a bounded distributive lattice with complementation (a dual automorphism of period 2) by a dual endomorphism that satisfies the de Morgan laws, this seemingly modest generalization turns out to be extemely wide. The variety of Ockham algebras has infinitely many subvarieties including those of de Morgan algebras, Stone algebras, and Kleene algebras. Folowing pioneering work by Berman in 1977, many papers have appeared in this area oflattice theory to which several important results in the theory of universal algebra are highly applicable. This is the first unified account of some of this research. Particular emphasis is placed on Priestly's topological duality, which invloves working with ordered sets and order-reversing maps, hereby involving many problems of a combinatorial nature. Written with the graduate student in mind, this book provides an ideal overview of this are of increasing interest.