Weak relative complements in almost distributive lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 38, page 5 (issn: 1509-9415, eissn: 2084-0373,

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Authors: Sirisetti Ramesh; Jogarao G.;

doi: 10.7151/dmgaa.1286

Weak relative complements in almost distributive lattices

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Abstract

In this paper, the concept of relative complementation in almost distributive lattice is generalized. We obtain several properties on the sets of weak relative complement elements. We prove a sufficient condition for a weakly relatively complemented almost distributive lattice with dense elements to become a generalized stone almost distributive lattice.

Keywords

dense elements, relative complements, almost distributive lattice, QA1-939, weak relative complementation, generalized stone almost distributive lattice, 06b10, Mathematics, 06d75

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