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Item Details
| Title:
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OCKHAM ALGEBRAS
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| By: |
T. S. Blyth, J.C. Varlet |
| Format: |
Hardback |
| List price:
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£40.99 |
| Our price: |
£35.87 |
| Discount: |
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| You save:
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£5.12 |
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| ISBN 10: |
0198599382 |
| ISBN 13: |
9780198599388 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
OXFORD UNIVERSITY PRESS |
| Pub. date: |
6 October, 1994 |
| Pages: |
250 |
| Description: |
In the area of ordered sets and lattices, Ockham algebras form a natural and very wide generalization of the notion of a boolean algebra. Following pioneering work by Berman in 1977, many papers have appeared in this area of lattice theory to which several important results in the theory of universal algebra are highly applicable. This book provides the first unified account of some of this research, with particular emphasis placed on Priestley's topological duality,which invloves working with ordered sets and order-reversing maps, involving manu problems of a combinatorial nature. |
| Synopsis: |
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. |
| Illustrations: |
line drawings |
| Publication: |
UK |
| Imprint: |
Clarendon Press |
| Returns: |
Returnable |
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