
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.
This text investigates the mathematical structure of Ockham algebras, providing a comprehensive framework for understanding their role as a generalization of Boolean algebras. Authors J. C. Varlet and T. S. Blyth synthesize developments in lattice theory following the 1977 research by Berman. The book establishes a unified account of the subject, focusing on the classification of subvarieties and the application of topological duality to order-reversing maps.
What You Will Find
Experts recognize this work as a foundational text for graduate-level study in lattice theory and algebraic structures. Readers frequently note the technical density of the prose, which is intended for researchers and students with a strong background in abstract algebra.
Page Count:
256
Publication Date:
1994-11-10
Publisher:
Clarendon Press
ISBN-10:
0198599382
ISBN-13:
9780198599388
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