Weak Relative Complements in Almost Distributive Lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 1, pp. 5-18
Voir la notice de l'article provenant de la source Library of Science
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, weak relative complementation, almost distributive lattice, generalized stone almost distributive lattice
@article{DMGAA_2018_38_1_a0,
author = {Sirisetti, Ramesh and Jogarao, G.},
title = {Weak {Relative} {Complements} in {Almost} {Distributive} {Lattices}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {5--18},
publisher = {mathdoc},
volume = {38},
number = {1},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2018_38_1_a0/}
}
TY - JOUR AU - Sirisetti, Ramesh AU - Jogarao, G. TI - Weak Relative Complements in Almost Distributive Lattices JO - Discussiones Mathematicae. General Algebra and Applications PY - 2018 SP - 5 EP - 18 VL - 38 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2018_38_1_a0/ LA - en ID - DMGAA_2018_38_1_a0 ER -
Sirisetti, Ramesh; Jogarao, G. Weak Relative Complements in Almost Distributive Lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 38 (2018) no. 1, pp. 5-18. http://geodesic.mathdoc.fr/item/DMGAA_2018_38_1_a0/