Results 251 to 260 of about 197,025 (287)

Not-so-fuzzy fuzzy ideals

Fuzzy Sets and Systems, 1990
The authors look for algebraic structures which do not admit proper fuzzy substructures. The main answer is the following: Theorem. If a ring R is Boolean, Artinian or a principal ideal domain, then in R any proper prime fuzzy ideal P has supp P\(=\{0\}\). As a generalization they get a characterization of rings with finite chains of ideals.
Kumbhojkar, H. V., Bapat, M. S.
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Prime L-fuzzy ideals and primary L-fuzzy ideals

Fuzzy Sets and Systems, 1988
The 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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On fuzzy ideals and fuzzy bi-ideals in semigroups

Fuzzy Sets and Systems, 1981
Abstract In this paper we give some properties of fuzzy ideals and fuzzy bi-ideals of semigroups, and characterize semigroups that are (left) duo, (left) simple and semilattices of subsemigroups in terms of fuzzy ideals and fuzzy bi-ideals.
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Fuzzy Quasi-ideals and Fuzzy Bi-ideals in Semirings

2012
The object of this chapter is to study fuzzy quasi-ideals and fuzzy bi-ideals and Section 1 provides a study of these ideals. Section 2 presents various characterizations of regular semirings involving these fuzzy ideals. In Section 3, we examine and characterize regular and intra regular semirings in this context. Section 4 provides a study of fuzzy k-
Javed Ahsan, John N. Mordeson, Mohammad Shabir   +2 more
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k-Fuzzy ideals in semirings

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Chang Bum, Park, Mi-Ae
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Fuzzy dot ideals and fuzzy dot H-ideals of BCH-algebras

Applied Mathematics-A Journal of Chinese Universities, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Prime Fuzzy Ideals

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, Davender S. Malik, Nobuaki Kuroki   +2 more
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Fuzzy prime ideals and invertible fuzzy ideals in BCK-algebras

Fuzzy Sets and Systems, 2001
Let \(\mu\) and \(\nu\) be fuzzy ideals of a commutative BCK-algebra \(X\). \(\mu\) is called prime iff it is non-constant and \(\mu(x\wedge y)=\max\{\mu(x), \mu(y)\}\) for all \(x,y\in X\). If \(\nu^+ (x)=1-\inf\{\nu(y) |y\wedge x=0\}\) is a fuzzy ideal of \(X\), then \(\nu\) is called invertible.
Jun, Young Bae, Xin, Xiao Long
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Generalized Fuzzy alpha-ideals and Fuzzy alpha-ideals in Semigroups

2012 Second International Conference on Intelligent System Design and Engineering Application, 2012
In this paper, we introduce the concepts of generalized fuzzy ®-ideals and fuzzy ®-ideals of semigroups, and study their related properties by fuzzy points.
Feng Yan, Jian Tang, Xiang-Yun Xie
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Fuzzy ideals of artinian rings

Fuzzy Sets and Systems, 1990
Main result: A ring R with unity is Artinian iff every of its fuzzy ideals I: \(R\to [0,1]\) is finitely valued. The author discusses also a few related results of \textit{T. K. Mukherjee}, \textit{M. K. Sen} [ibid. 21, 99-104 (1987; Zbl 0617.13001)] and \textit{F. Z. Pan} [ibid. 21, 105-113 (1987; Zbl 0616.16013)].
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