Results 231 to 240 of about 420 (261)

T-fuzzy prime ideals

Fuzzy Sets and Systems, 1996
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Alfonso Garmendia
exaly   +3 more sources

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.
Young Bae Jun
exaly   +3 more sources

Prime fuzzy ideals in rings

Fuzzy Sets and Systems, 1989
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Mukherjee, T. K., Sen, M. K.
exaly   +2 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 ...
John N Mordeson
exaly   +2 more sources

Interval-valued prime fuzzy ideals of semigroups

Lobachevskii Journal of Mathematics, 2013
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S Kar, Kar S, Shum K P
exaly   +3 more sources

Spectrum of prime fuzzy ideals

Fuzzy Sets and Systems, 1994
An 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 ...
H V Kumbhojkar
exaly   +3 more sources

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.
Babushri Srinivas Kedukodi, Syam Prasad Kuncham   +1 more
exaly   +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 \(A(b)=A(0)\).
exaly   +3 more sources

Spectrum of prime L-fuzzy h-ideals of a hemiring

Fuzzy Sets and Systems, 2010
The author redefines the notion of a prime fuzzy \(h\)-ideal of a hemiring so that it is not necessarily 2-valued. Let \(S\) be a commutative hemiring with identity. In this case, a non-constant fuzzy \(h\)-ideal \(P\) of \(S\) is prime if \(\forall a,b\in S\), either \(P(ab)=P(a)\) or \(P(ab)=P(b)\).
H V Kumbhojkar
exaly   +2 more sources

Uniformly strongly prime fuzzy ideals

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
In this paper we define the concept of uniformly strongly prime fuzzy ideal for associative rings with unity. This concept is proposed without dependence of level cuts. We show a pure fuzzy demonstration that all uniformly strongly prime fuzzy ideals are a prime fuzzy ideal according to the newest definition given by Navarro, Cortadellas and Lobillo [1]
Flaulles Boone Bergamaschi, Regivan H. N. Santiago   +1 more
openaire   +1 more source