Results 201 to 210 of about 987,533 (242)
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Rough prime ideals and rough fuzzy prime ideals in semigroups
Information Sciences, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi-Mei Xiao, Zhen-Liang Zhang
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Fuzzy ideals and fuzzy prime ideals of a ring
Fuzzy Sets and Systems, 1991Firstly, 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.
Naseem Ajmal
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A characterization of L-fuzzy prime ideals
Fuzzy Sets and Systems, 1991A 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 ...
M M Zahedi
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Fuzzy prime ideals and invertible fuzzy ideals in BCK-algebras
Fuzzy Sets and Systems, 2001Let \(\mu\) 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.
Young Bae Jun
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Fuzzy Sets and Systems, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
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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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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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