REGULAR FILTERS OF DISTRIBUTIVE LATTICES

Document Type : Original Manuscript

Authors

Department of Mathematics, MVGR College of Engineering, Vizianagaram, P.O. Box 535005, Andhra Pradesh, India.

Abstract

The concepts of regular filters and π--filters are introduced in distributive lattices. A set of equivalent conditions is given for a D-filter to become a regular filter. For every D-filter, it is proved that there exists a homomorphism whose dense kernel is a regular filter. π--filters are characterized in terms of regular filters and congruences. Some equivalent conditions are given for the space of all prime π-filters to become a Hausdorff space.

Keywords

References

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Journal of Algebraic Systems
Volume 12, Issue 2
January 2025
Pages 283-299

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