Localizations of topologies on distributive lattices (in Ukrainian)

Author
I. Tushnytskyi
Abstract
In this paper the bounded distributive lattices with local defined topologies (pre topologies) are introduced and described. The results are completely similar to that of the~author, W.~Brandal and E.~Barbut for commutative rings. It is shown that the~lattice of subsets of infinite set with finite complements is an~adequate model of the~introduced notions.
Keywords
bounded distributive lattices, local topologies, pretopologies, lattice of subsets, infinite set, finite complements, commutative rings
DOI
doi:10.30970/ms.8.2.180-188
Reference
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Pages
180-188
Volume
8
Issue
2
Year
1997
Journal
Matematychni Studii
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