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A note on annihilators in distributive nearlattices
(University of Miskolc. Institute of Mathematics, 2015-08)
In this note we propose a definition of relative annihilator in distributive nearlattices with greatest element different to that given in [5] and we present some new characterizations of the distributivity. Later, we study ...
Stone style duality for distributive nearlattices
(Springer, 2014-01)
The aim of this paper is to study the variety of distributive nearlattices with greatest element. We will define the class of N-spaces as sober-like topological spaces with a basis of open, compact, and dually compact ...
Annihilator preserving congruence relations in distributive nearlattices
(Institute of Mathematics of the Czech Academy of Sciences, 2018-07)
In this note we give some new characterizations of distributivity of a nearlattice and we study annihilator-preserving congruence relations.
Distributive nearlattices with a necessity modal operator
(Mathematical Institute Slovak Academy of Sciences, 2019-01)
The aim of this paper is to study the class of distributive nearlattices with a necessity modal operator. We develop a full duality to the category of distributive nearlattices whose morphisms are applications that preserving ...