Title of article
w-filters of distributive lattices
Author/Authors
Sambasiva Rao, Mukkamala Department of Mathematics - MVGR College of Engineering, Vizianagaram, India , Venkata Rao, Chukka Department of Mathematics - Albert Einstein School of Physical Sciences - Assam University, Silchar, India
Pages
15
From page
145
To page
159
Abstract
The notion of -filters is introduced in distributive lattices and their properties are studied. A set of equivalent conditions is derived for every maximal filter of a distributive lattice to become an -filter which leads to a characterization of quasi-complemented lattices. Some sufficient conditions are derived for proper -filters of a distributive lattice to become an -filter. Finally, -filters of a distributive lattice are characterized with the help of minimal prime -filters.
Keywords
Prime D-filter , Minimal prime D-filter , Maximal filter D-filter , Quasi-complemented lattice , Boolean algebra
Journal title
Journal of Algebraic Structures and Their Applications
Serial Year
2022
Record number
2729982
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