ON A PERIOD OF ELEMENTS OF PSEUDO-BCI-ALGEBRAS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 1
Abstract
The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.
Authors and Affiliations
Grzegorz Dymek
All Regular-Solid Varieties of Idempotent Semirings
The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties o...
IF-FILTERS OF PSEUDO-BL-ALGEBRAS
Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of...
Filters of lattices with respect to a congruence
Some properties of filters on a lattice L are studied with respect to a congruence on L. The notion of a θ-filter of L is introduced and these filters are then characterized in terms of classes of θ. For distributive L,...
ON A PERIODIC PART OF PSEUDO-BCI-ALGEBRAS
In the paper the connections between the set of some maximal elements of a pseudo-BCI-algebra and deductive systems are established. Using these facts, a periodic part of a pseudo-BCI-algebra is studied.
ON PERFECTNESS OF INTERSECTION GRAPH OF IDEALS OF Zn
In this short paper, we characterize the positive integers n for which intersection graph of ideals of Zn is perfect.