Weak prime \(\mathtt{L}\)--fuzzy filters of semilattices

Volume 24, Issue 1, pp 1--9 http://dx.doi.org/10.22436/jmcs.024.01.01

Publication Date: November 26, 2020 Submission Date: October 10, 2020 Revision Date: November 06, 2020 Accteptance Date: November 11, 2020

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Authors

Ch. Santhi Sundar Raj - Department of Engineering Mathematics, Andhra University, Visakhapatnam, 530003, India. K. Ramanuja Rao - Deaprtment of Mathematics, Fiji National Uniersity, Lautoka, FIJI. B. Subrahmanyam - Department of Engineering Mathematics, Andhra University, Visakhapatnam, 530003, India.

Abstract

The concept of weak prime \(\mathtt{L}\)--fuzzy filter of a semilattice \(S\) is introduced and example are given. A characterization of weak prime \(\mathtt{L}\)--fuzzy filters is established and prime filters of \(S\) are identified with weak prime \(\mathtt{L}\)--fuzzy filters. Also, minimal weak prime \(\mathtt{L}\)--fuzzy filters are characterized.

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Keywords

• Bounded semilattice
• \(\mathtt{L}\)--fuzzy filter
• prime \(\mathtt{L}\)--fuzzy filter
• weak prime \(\mathtt{L}\)--fuzzy filter
• frame

MSC

•  06D72
•  06F15
•  08A72

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