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Fuzzy Sets and Systems, 1996
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Alfonso Garmendia +2 more
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Alfonso Garmendia +2 more
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Fuzzy prime ideals and prime fuzzy ideals
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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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
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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
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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
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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
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FUZZY PRIME IDEALS OF A SEMIRING AND FUZZY PRIME SUB-SEMIMODULES OF A SEMIMODULE OVER A SEMIRING [PDF]
New Mathematics and Natural Computation, 2006 In this paper we define fuzzy prime right ideals and fuzzy prime subsemimodules of a right R-semimodule. We characterize those semirings for which each fuzzy ideal is prime and those semirings for which each fuzzy right ideal is prime.
J. AHSAN, K. SAIFULLAH, M. SHABIR
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Spectrum of prime L-fuzzy ideals of an ordered semigroup
Journal of Intelligent & Fuzzy Systems, 2019In this paper, we redefine the concept of prime L-fuzzy ideals of an ordered semigroup so that the prime L-fuzzy ideals are not necessarily 2-valued. Then a topological space, called the spectrum of prime L-fuzzy ideals of an ordered semigroup, has been ...
Huanrong Wu +3 more
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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
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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 ...
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Prime L-fuzzy ideals and primary L-fuzzy ideals
Fuzzy Sets and Systems, 1988The author introduces the concepts of a primary L-fuzzy ideal and a primary L-fuzzy ideal belonging to a prime L-fuzzy ideal where L is a complete distributive lattice. Let A be an L-fuzzy ideal of a ring X and \(X_ A=\{x\in X| A(x)=A(0)\}\). A is called prime if for \(a,b\in X\), \(A(ab)=A(0)\) implies \(A(a)=A(0)\) or \(A(b)=A(0)\).
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