Results 11 to 20 of about 17,601 (256)

Fuzzy prime ideals of rings

open access: yesJournal of Mathematical Analysis and Applications, 1988
Fuzzy ideals were introduced by \textit{W. J. Liu} [Fuzzy Sets Syst. 8, 133--139 (1982; Zbl 0488.20005); cf. also \textit{S. Sessa}, ibid. 13, 95--100 (1984; Zbl 0568.20004)]. The paper characterizes L-fuzzy prime ideals and L-fuzzy maximal ideals of a given ring by formulas depending on crisp ideals of this ring.
Swamy, U.M, Swamy, K.L.N
openaire   +4 more sources

On intuitionistic fuzzy almost prime ideals and intuitionistic fuzzy almost prime submodules [PDF]

open access: yesNotes on Intuitionistic Fuzzy Sets, 2023
The aim of this paper is to present some characterizations of almost prime ideals and almost prime submodules in the intuitionistic fuzzy environment. We investigate various properties of these concepts and achieve many results.
P. K. Sharma
openaire   +2 more sources

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

open access: yesJournal 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 Γ-ideal and semiprime Γ-ideal of a Γ-ring. Also some properties of these concepts have been studied.
SÖNMEZ, DENİZ   +3 more
openaire   +3 more sources

On fuzzy prime and fuzzy semiprime ideals of $\le$-hypergroupoids [PDF]

open access: yesJournal of Hyperstructures, 2016
We deal with an hypergroupoid endowed with a relation denoted by "$\le$", we call it $\le$--hypergroupoid. We prove that a nonempty subset $A$ of a $\le$--hypergroupoid $H$ is a prime (resp. semiprime) ideal of $H$ if and only if its characteristic function $f_A$ is a fuzzy prime (resp. fuzzy semiprime) ideal of $H$.
Niovi Kehayopulu
openaire   +3 more sources

On fuzzy ideals of BL-algebras. [PDF]

open access: yesScientificWorldJournal, 2014
In this paper we investigate further properties of fuzzy ideals of a BL-algebra. The notions of fuzzy prime ideals, fuzzy irreducible ideals, and fuzzy Gödel ideals of a BL-algebra are introduced and their several properties are investigated.
Meng BL, Xin XL.
europepmc   +2 more sources

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

open access: yesHeliyon, 2021
In this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept. Moreover, ordered semigroups and their some classes are characterized by means of fuzzy bipolar soft ...
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +2 more sources

Generalized roughness of three dimensional ( ∈ , ∈ ∨ q )-fuzzy ideals in terms of set-valued homomorphism. [PDF]

open access: yesSci Rep
The objective of this study is to generalize the roughness of a fuzzy set-in three-dimensional structure by introducing ternary multiplication. Many results and theorems of rough fuzzy ideals have been extended from semigroup and semiring, to ternary ...
Bashir S   +5 more
europepmc   +2 more sources

On fuzzy quasi-prime ideals in near left almost rings [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings.
Pairote Yiarayong
doaj   +1 more source

Rough Fuzzy Ideals Induced by Set-Valued Homomorphism in Ternary Semigroups

open access: yesJournal of Function Spaces, 2022
The main objective of this paper is to characterize rough approximations of fuzzy ideals in ternary semigroups. Rough fuzzy ideals are used to deal with vague and incomplete information in decision-making problems.
Shahida Bashir   +3 more
doaj   +1 more source

Fermatean fuzzy semi-prime ideals of ordered semigroups

open access: yesTopological Algebra and its Applications, 2023
Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups.
Adak Amal Kumar   +2 more
doaj   +1 more source

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