Results 241 to 250 of about 47,137 (264)
Some of the next articles are maybe not open access.
Uniformly strongly prime fuzzy ideals
2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014In this paper we define the concept of uniformly strongly prime fuzzy ideal for associative rings with unity. This concept is proposed without dependence of level cuts. We show a pure fuzzy demonstration that all uniformly strongly prime fuzzy ideals are a prime fuzzy ideal according to the newest definition given by Navarro, Cortadellas and Lobillo [1]
Flaulles B. Bergamaschi +1 more
openaire +1 more source
2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018
In this paper, we offer a general prime fuzzy ideal principle for proving that certain fuzzy ideals of a commutative ring are prime. For this purpose, we introduce the concepts of Ako and Oka for some families of fuzzy ideals of a commutative ring and then by these concepts, we can state some familiar results of commutative algebra in fuzzy case. Also,
Esmaeil Rostami, Azadeh Rajabi Khabisi
openaire +1 more source
In this paper, we offer a general prime fuzzy ideal principle for proving that certain fuzzy ideals of a commutative ring are prime. For this purpose, we introduce the concepts of Ako and Oka for some families of fuzzy ideals of a commutative ring and then by these concepts, we can state some familiar results of commutative algebra in fuzzy case. Also,
Esmaeil Rostami, Azadeh Rajabi Khabisi
openaire +1 more source
Fuzzy prime ideals and prime fuzzy ideals
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
2003
In this chapter, we characterize prime fuzzy ideals of a semigroup S. Sections 7.1–7.11 are essentially from [151]. We show that a nonconstant fuzzy ideal f of a semigroup S is prime if and only if f is two-valued and there exists an element x0 in S such that f(x0) = 1 and f1 = {x ∈ S | f(x) = 1} is a prime ideal of S.
John N. Mordeson +2 more
openaire +1 more source
In this chapter, we characterize prime fuzzy ideals of a semigroup S. Sections 7.1–7.11 are essentially from [151]. We show that a nonconstant fuzzy ideal f of a semigroup S is prime if and only if f is two-valued and there exists an element x0 in S such that f(x0) = 1 and f1 = {x ∈ S | f(x) = 1} is a prime ideal of S.
John N. Mordeson +2 more
openaire +1 more source
Fuzzy prime ideals and fuzzy radical ideals
Information Sciences, 1990Abstract Some properties of the fuzzy prime ideals and radical ideals are studied. Also we study the structure of fuzzy principal ideals.
openaire +1 more source
Prime Fuzzy Ideals, Completely Prime Fuzzy Ideals of Po-$$\Gamma $$-Semigroups Based on Fuzzy Points
2015Using fuzzy points the notions of prime fuzzy ideals, weakly prime fuzzy ideals, completely prime fuzzy ideals, and weakly completely prime fuzzy ideals of a po-\(\Gamma \)-semigroup have been introduced. Some important properties and characterizations of these ideals have been obtained.
Pavel Pal +2 more
openaire +1 more source
Spectrum of prime fuzzy ideals
Fuzzy Sets and Systems, 1994An attempt has been made to introduce an appropriate topology on the set of prime fuzzy ideals. Instead of appealing to other definitions of prime fuzzy ideals, as in literature, the author has taken his own definition introduced earlier; such prime fuzzy ideals in a commutative ring \(R\) with identity are denoted by \(F \text{spec} (R)\); the author ...
openaire +2 more sources
Fuzzy rough prime and semi-prime ideals in semigroups
AIP Conference Proceedings, 2019The purpose of this paper is to introduce the concept of fuzzy rough prime ideals and fuzzy rough semi-prime ideals in semigroups. Some results based on fuzzy rough prime and fuzzy rough semi-prime ideals are established.The purpose of this paper is to introduce the concept of fuzzy rough prime ideals and fuzzy rough semi-prime ideals in semigroups ...
V. S. Subha +2 more
openaire +1 more source
Fuzzy radicals and prime fuzzy ideals of ordered semigroups
Information Sciences, 2008Let \(S\) be an ordered semigroup, \(f\) a fuzzy subset of \(S\) and \(t\in [0,1]\). Then, the set \(f_t:=\{x\in S\mid f(x)\geq t\}\) is called the level subset of \(f\) (introduced by the same authors in an earlier paper). The authors prove first that a fuzzy subset of \(S\) is a fuzzy ideal of \(S\) if and only if the level subset of \(f\), if it is ...
Xie, Xiang-Yun, Tang, Jian
openaire +2 more sources
Prime and primary L-fuzzy ideals of L-fuzzy rings
Fuzzy Sets and Systems, 1999This paper elaborates on the earlier introduced concept of a fuzzy ideal of an \(L\)-fuzzy ring where \(L\) denotes a totally distributive bounded lattice. More concretely the following notions are (re-)introduced in this framework: fuzzy prime ideal, primary fuzzy ideal and fuzzy radical of a fuzzy ideal.
openaire +1 more source