Title of article
REGULAR FILTERS OF DISTRIBUTIVE LATTICES
Author/Authors
Mukkamala ، Sambasiva Rao Department of Mathematics - MVGR College of Engineering , Ananthapatnayakuni ، Phaneendra Kumar Department of Mathematics - MVGR College of Engineering
From page
283
To page
299
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
Minimal prime D , filter , dense element , relatively complemented lattice , Hausdorff space , π , filter
Journal title
Journal of Algebraic Systems
Journal title
Journal of Algebraic Systems
Record number
2758336
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