On A Random Function Defined On A Pseudo Boolean Algebra
On annihilators in BL-algebras
In the paper, we introduce the notion of annihilators in BL-algebras and investigate some related properties of them. We get that the ideal lattice (I(L), ⊆) is pseudo-complemented, and for any ideal I, its pseudo-complement is the annihilator I⊥ of I. Also, we define the An (L) to be the set of all annihilators of L, then we have that (An(L); ⋂,∧An(L),⊥,0, L) is a Boolean algebra. In addition, we introduce the annihilators of a nonempty subset X of L with respect to an ideal I and study some properties...
On connections between information systems, rough sets and algebraic logic
In this note we remark upon some relationships between the ideas of an approximation space and rough sets due to Pawlak ([9] and [10]) and algebras related to the study of algebraic logic - namely, cylindric algebras, relation algebras, and Stone algebras. The paper consists of three separate observations. The first deals with the family of approximation spaces induced by the indiscernability relation for different sets of attributes of an information system. In [3] the family of closure operators...
On convex constructions in lattices
On equalizers in the category of frames with weakly open homomorphisms
On forbidden configuration of -distributive lattices
In this paper we obtain the forbidden configuration for 0-distributive lattices.
On generalized MS-Algebras
On Priestley duals of products
On pseudocomplemented semilattices with Stone congruence lattices
On some algebras connected with the theory of harmony
On the complementation of relatively complemented distributive lattices
On the intersection of maximal filters in distributive lattices
Optimal natural dualities for some quasivarities of distributive double -algebras.