IF-FILTERS OF PSEUDO-BL-ALGEBRAS

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2015, Vol 35, Issue 2

Abstract

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 IF-filters and direct product of IF-filters are studied.

Authors and Affiliations

Magdalena Wojciechowska-Rysiawa

Keywords

Related Articles

Weak-hyperlattices derived from fuzzy congruences

In this paper we explore the connections between fuzzy congruence relations, fuzzy ideals and homomorphisms of hyperlattices. Indeed, we introduce the concept of fuzzy quotient set of hyperlattices as it was done in the...

SEMIGROUPS DERIVED FROM (Γ, N)-SEMIHYPERGROUPS AND T-FUNCTOR

The main purpose of this paper is to introduce the concept of (Γ, n)- semihypergroups as a generalization of hypergroups, as a generalization of nary hypergroups and obtain an exact covariant functor between the category...

An ideal-based zero-divisor graph of direct products of commutative rings

In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings....

A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...

ON THE CONNECTIVITY OF THE ANNIHILATING-IDEAL GRAPHS

Let R be a commutative ring with identity and A∗(R) the set of nonzero ideals with non-zero annihilators. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A∗(R) and two distinct vertice...

Download PDF file
  • EP ID EP304483
  • DOI -
  • Views 45
  • Downloads 0

How To Cite

Magdalena Wojciechowska-Rysiawa (2015). IF-FILTERS OF PSEUDO-BL-ALGEBRAS. Discussiones Mathematicae - General Algebra and Applications, 35(2), -. https://europub.co.uk/articles/-A-304483