Results 221 to 230 of about 17,601 (256)

Rough prime ideals and rough fuzzy prime ideals in semigroups

Information Sciences, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Qi-Mei, Zhang, Zhen-Liang
openaire   +3 more sources

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
openaire   +3 more sources

Prime fuzzy ideals in rings

Fuzzy Sets and Systems, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mukherjee, T. K., Sen, M. K.
openaire   +3 more sources

Interval-valued prime fuzzy ideals of semigroups

Lobachevskii Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kar, S., Shum, K. P., Sarkar, P.
openaire   +4 more sources

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
openaire   +3 more sources

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 \(A(b)=A(0)\).
openaire   +4 more sources