Normal ideals in pseudo-complemented almost distributive lattices

Document Type : Research Paper

Authors

1 Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh - 522 101, India.

2 Department of Mathematics, GITAM(Deemed to be University), Hyderabad Campus, Telangana - 502 329, India

Abstract

In this paper, we introduced the concepts of normlet and normal ideal in a pseudo-complemented almost distributive lattice and studied its properties. We have characterized normal ideals and established equivalent conditions for every ideal to become a normal ideal. Also, derived equivalent conditions for the set of all prime normal ideals of a pseudo-complemented ADL to become a Hausdorff space.

Keywords

References

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Algebraic Structures and Their Applications
Volume 7, Issue 2
November 2020
Pages 147-161

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