Properties of relatively pseudocomplemented directoids
نویسندگان
چکیده
منابع مشابه
Pseudocomplemented directoids
Directoids as a generalization of semilattices were introduced by J. Ježek and R. Quackenbush in 1990. We modify the concept of a pseudocomplement for commutative directoids and study several basic properties: the Glivenko equivalence, the set of the so-called boolean elements and an axiomatization of these algebras.
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15 صفحه اولCongruence lattices of pseudocomplemented semilattices
Congruence lattices of algebras in various varieties have been studied extensively in the literature. For example, congruence lattices (i.e. lattices of ideals) of Boolean algebras were characterized by Nachbin [18] (see also Gratzer [9] and Jonsson [16]) while congruence lattices of semilattices were investigated by Papert [19], Dean and Oehmke [4] and others. In this paper we initiate the inv...
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2011
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2011.141445