Ockham Algebras (Oxford Science Publications) 1st Edition by T. S. Blyth (PDF)

Description

Ockham algebras–the natural generalization of a well known and important notion of a boolean algebra–has an infinite amount of subvarieties, including those of de Morgan, Stone, and Kleene algebras. This book, the first unified account of the subject, details the many important breakthroughs that have occurred in this area of lattice theory since Berman’s pioneering work in 1977. Particular emphasis is placed on Priestley’s topological duality, which involves ordered sets and order-reversing maps. With its many illustrative examples and substantial bibliography, Ockham Algebras is the perfect introduction to the subject for graduate students and researchers studying algebra and lattice theory.

User’s Reviews

Editorial Reviews: Review “An Ockham algebra is a bounded distributive lattice enriched with a dual endomorphism. Particular classes of Ockham algebras are the well-known classes of Boolean algebras, De Morgan algebras and Stone algebras. It is thus not only a useful reference work for researchers but also a good introduction for beginning graduate students.”–Mathematical Reviews About the Author T. S. Blyth is at University of St Andrews. J. C. Varlet is at University of Liege.

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