Results 231 to 240 of about 47,137 (264)

Fuzzy ideals and fuzzy prime ideals of a ring

Fuzzy Sets and Systems, 1991
Firstly, the authors focus on the generalization of the well-known classical property: the union of two ideals of a ring is again an ideal iff one of them is contained in the other. By means of a counterexample it is proven that this property does not hold in general for fuzzy ideals.
Dixit, V. N., Kumar, Rajesh, Ajmal, Naseem   +2 more
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Prime fuzzy ideals in rings

Fuzzy Sets and Systems, 1989
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Mukherjee, T. K., Sen, M. K.
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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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Interval-valued prime fuzzy ideals of semigroups

Lobachevskii Journal of Mathematics, 2013
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Kar, S., Shum, K. P., Sarkar, P.
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Equiprime, 3-prime and c-prime fuzzy ideals of nearrings

Soft Computing, 2008
The notion of primeness for fuzzy ideals of near-rings is not new, but the approach of the authors to this topic is in the sense that they deal with fuzzy ideals with thresholds. This opens up more possibilities and leads to a wider and more interesting class of examples.
Kedukodi, Babushri Srinivas, Kuncham, Syam Prasad, Bhavanari, Satyanarayana   +2 more
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Fuzzy prime ideals of a ring

Fuzzy Sets and Systems, 1990
Abstract This paper characterizes all fuzzy prime ideals P of an arbitrary ring R. We show that a nonconstant fuzzy ideal P of R is prime if and only if P0 ={;x ϵ R: P(x) = P(0)}; is a prime ideal of R, P is two-valued, and P(0) = 1. Examples are given showing that P0 is a prime ideal is not sufficient for P to be a fuzzy prime ideal and that P0 may ...
A.S. Malik, John N. Mordeson
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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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A characterization of L-fuzzy prime ideals

Fuzzy Sets and Systems, 1991
A definition is given for the concept of an \(L\)-fuzzy prime ideal that is more restrictive than the concept introduced by \textit{Y. Zhang} [ibid. 27, 345-350 (1988; Zbl 0663.13001)]. The new definition is based on the concept of an \(L\)-fuzzy point, where even the value zero is allowed, which means that the \(L\)-fuzzy set \(\phi: X\to \{0\}\) is ...
Mohammad Mehdi Zahedi
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T-fuzzy prime ideals

Fuzzy Sets and Systems, 1996
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Garmendia, Alfonso, Molero, María, Salvador, Adela   +2 more
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Rough prime ideals and rough fuzzy prime ideals in semigroups

Information Sciences, 2006
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Xiao, Qi-Mei, Zhang, Zhen-Liang
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