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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P520

L-fuzzy ideals of Semilattices


Ch. Santhi Sundar Raj, B. Subrahmanyam, G. Sujatha, S. Nageswara Rao
Abstract

In this paper the notion of an L-fuzzy ideal of a semilattice is introduced and proved certain important structural properties of these. 0-distributive semilattices are characterized in terms of L-fuzzy ideals and prime L-fuzzy filters. The Stones’s version separation theorem on prime filters of distributive semilattices is extended to prime L-fuzzy filters. Furthermore, the notions of prime(maximal) L-fuzzy ideals of bounded semilattices are introduced and characterized.

Keywords
0-distributive semilattice; L-fuzzy ideal; L-fuzzy filter; prime L-fuzzy filter; prime L-fuzzy ideal; frame; meet-prime element.
References

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Citation :

Ch. Santhi Sundar Raj, B. Subrahmanyam, G. Sujatha, S. Nageswara Rao, "L-fuzzy ideals of Semilattices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 160-175, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P520

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