International Science Index

5
10007698
Zero Divisor Graph of a Poset with Respect to Primal Ideals
Abstract:
In this paper, we extend the concepts of primal and weakly primal ideals for posets. Further, the diameter of the zero divisor graph of a poset with respect to a non-primal ideal is determined. The relation between primary and primal ideals in posets is also studied.
Paper Detail
33
downloads
4
9999745
Diameter of Zero Divisor Graphs of Finite Direct Product of Lattices
Abstract:

In this paper, we verify the diameter of zero divisor graphs with respect to direct product.

Paper Detail
1234
downloads
3
16689
(R, S)-Modules and (1, k)-Jointly Prime (R, S)-Submodules
Abstract:

We introduced the notions of (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule as a generalization of prime ideal and jointly prime (R, S)-submodule, respectively. We provide a relationship between (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule. Characterizations of (1, k)-jointly prime (R, S)- submodules are also given.

Paper Detail
818
downloads
2
15343
On Completely Semiprime, Semiprime and Prime Fuzzy Ideals in Ordered Semigroups
Authors:
Abstract:

In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of completely semiprime fuzzy ideals of ordered semigroups. Furthermore, we introduce the notion of semiprime fuzzy ideals of ordered semigroup S and establish the relations between completely semiprime fuzzy ideals and semiprime fuzzy ideals of S. Finally, we give a characterization of prime fuzzy ideals of an ordered semigroup S and show that a nonconstant fuzzy ideal f of an ordered semigroup S is prime if and only if f is twovalued, and max{f(a), f(b)} = inf f((aSb]), ∀a, b ∈ S.

Paper Detail
1026
downloads
1
8848
Intuitionistic Fuzzy Points in Semigroups
Abstract:
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. Y.B. Jun and S.Z. Song introduced the notion of intuitionistic fuzzy points. In this paper we find some relations between the intuitionistic fuzzy ideals of a semigroup S and the set of all intuitionistic fuzzy points of S.
Paper Detail
1051
downloads