Open Access Open Access  Restricted Access Subscription or Fee Access

L-fuzzy ideals in a skew lattice

Mahmood Bakhshi, Mohadese Nazifi


In this paper, we introduce the notions of Lattice-valued fuzzy (skew) ideals in a skew lattice. We give some basic properties and the relationships between these fuzzy ideals. Specially, we prove that the set of all Lattice-valued fuzzy ideals is a complete lattice. We also introduce the notions of Lattice-valued fuzzy prime (skew) ideals and give some properties and characterizations of them. We give a correspondence theorem, as well and also establish the Prime Ideal Theorem for Lattice-valued fuzzy ideals.


Skew lattice, fuzzy ideal, Prime ideal theorem.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.