Results 11 to 20 of about 1,078 (248)

Fuzzy Prime Ideal Theorem in Residuated Lattices

International Journal of Mathematics and Mathematical Sciences, 2021
This paper mainly focuses on building the fuzzy prime ideal theorem of residuated lattices. Firstly, we introduce the notion of fuzzy ideal generated by a fuzzy subset of a residuated lattice and we give a characterization.
Pierre Carole Kengne, Blaise Blériot Koguep, Celestin Lele   +2 more
doaj   +3 more sources

On fuzzy prime and fuzzy semiprime ideals of hypergroupoids [PDF]

Journal of Hyperstructures, 2016
We deal with an hypergroupoid endowed with a rela- tion denoted by \", we call it{hypergroupoid. We prove that a nonempty subset A of a{hypergroupoid H is a prime (resp. semiprime) ideal of H if and only if the characteristic function fA is a fuzzy prime
Niovi Kehayopulu
doaj   +3 more sources

Intuitionistic fuzzy weakly prime ideals [PDF]

Journal of Hyperstructures, 2017
In this study, the fundamental definitions and theorems regarding intuitionistic fuzzy sets and intuitionistic fuzzy ideals of commutative ring R with identity have been given as preliminaries.
Tu˘gba Arkan, Serkan Onar, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +6 more sources

Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]

Journal of Hyperstructures, 2017
In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt, SERKAN ONAR, Deniz S¨onmez, Bayram Ersoy   +3 more
doaj   +4 more sources

Generalizations of prime fuzzy ideals of a lattice [PDF]

Journal of Hyperstructures, 2020
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil, Shriram Khanderao Nimbhorkar   +1 more
doaj   +2 more sources

Prime Fuzzy Ideals, Weakly Prime Fuzzy Ideals of Γ-semigroups

Fuzzy Information and Engineering, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sujit Kumar Sardar
exaly   +3 more sources

Fuzzy and Gradual Prime Ideals

Mathematics
There is a correspondence between equivalence classes of fuzzy ideals, on a commutative ring, and decreasing gradual ideals. In this paper, we explore how to construct a fuzzy ideal starting from any decreasing gradual ideal σ.
Pascual Jara, Salwa Mohamed
doaj   +3 more sources

On Interval-valued Anti Fuzzy Prime bi-ideal of Semigroup

Tikrit Journal of Pure Science, 2023
In this paper, we introduce the notions of interval-valued anti fuzzy prime (resp. strongly prime and semiprime) bi-ideals of semigroup. By using these ideas, we characterize those semigroup for which each interval anti-fuzzy bi-ideal is semiprime and ...
S. A. Wuhaib, Akram S. Mohammed, Zeyad. M. Abdullah   +2 more
doaj   +1 more source

Fuzzy weakly irreducible ideals of a ring [PDF]

Journal of Hyperstructures, 2021
In this paper, we introduce the concept of a fuzzy weakly irreducible ideal of a commutative ring R with identity.This concept is a generalization of the concept of a fuzzy strongly irreducible ideal.
Jyoti A. Khubchandani, Shriram K. Nimbhorkar   +1 more
doaj   +1 more source

Fuzzy small right ideals of rings [PDF]

Journal of Hyperstructures, 2013
We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have
P. Dheena, G. Mohanraj
doaj   +1 more source