Results 221 to 230 of about 17,500 (266)

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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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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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 B. Bergamaschi, Regivan H. N. Santiago   +1 more
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A prime fuzzy ideal principle

2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), 2018
In this paper, we offer a general prime fuzzy ideal principle for proving that certain fuzzy ideals of a commutative ring are prime. For this purpose, we introduce the concepts of Ako and Oka for some families of fuzzy ideals of a commutative ring and then by these concepts, we can state some familiar results of commutative algebra in fuzzy case. Also,
Esmaeil Rostami, Azadeh Rajabi Khabisi
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Fuzzy prime ideals and prime fuzzy ideals

Fuzzy Sets and Systems, 1998
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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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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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