Distributive lattices with an additional unary operation
β Scribed by Joel Berman
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 302 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0001-9054
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π SIMILAR VOLUMES
An Ockham lattice is defined to be a distributive lattice with 0 and 1 which is equipped with a dual homomorphie operation. In this paper we prove: (1) The lattice of all equational classes of Oekham lattices is isomorphic to a lattice oi easily described first-order theories and is uncountable, (2
Let L be a bounded lattice, let [a, b] and [c, d] be intervals of L, and let Ο : [a, b] β [c, d] be an isomorphism between these two intervals. Let us consider the algebra L β β Ο = L; β§, β¨, Ο, Ο -1 , which is a lattice with two partial unary operations. We construct a bounded lattice K (in fact, a
In this note we introduce and study algebras ( L , V, A, 1, 0,l) of type (2,2,1,1,1) such that ( L , V, A , 0 , l ) is a bounded distributive lattice and -,is an operator that satisfies the conditions -,(a V b ) = -,a A -,b and -0 = 1. We develop the topological duality between these algebras and Pr