\(a\)-minimal prime ideals in almost distributive lattices

Volume 14, Issue 4, pp 212--221 http://dx.doi.org/10.22436/jnsa.014.04.03

Publication Date: January 05, 2021 Submission Date: November 14, 2020 Revision Date: November 28, 2020 Accteptance Date: December 02, 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. S. Nageswara Rao - Department of Engineering Mathematics, Andhra University, Visakhapatnam, 530003, India.

Abstract

The concept of \(a\)-minimal prime ideal of an ADL is introduced and its characterizations are established. The set of all \(a\)-minimal prime ideals of an ADL is topologized and resulting space is studied.

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Keywords

• ADL
• minimal prime ideal
• relative
• \(a\)-annihilator
• \(a\)-minimal prime ideal
• \(a\)-maximal filter
• \(a\)-pseudo complementation
• hull-kernel topology

MSC

•  06D99

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