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
- EP ID EP304483
- DOI -
- Views 44
- Downloads 0
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...
CONRAD’S PARTIAL ORDER ON P.Q.-BAER ∗-RINGS
We prove that a p.q.-Baer ∗-ring forms a pseudo lattice with Conrad’s partial order and also characterize p.q.-Baer ∗-rings which are lattices. The initial segments of a p.q.-Baer ∗-ring with the Conrad’s partial order a...
A NOTE ON IDEAL BASED ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING
In this paper, we consider the ideal based zero divisor graph ΓI (R) of a commutative ring R. We discuss some graph theoretical properties of ΓI (R) in relation with zero divisor graph. We also relate certain parameters...
A VARIATION OF ZERO-DIVISOR GRAPHS
In this paper, we define a new graph for a ring with unity by extending the definition of the usual ‘zero-divisor graph’. For a ring R with unity, Γ1(R) is defined to be the simple undirected graph having all non-zero el...
Intervals of certain classes of Z-matrices
Let A and B be M-matrices satisfying A ≤ B and J = [A, B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible Mmatr...