The space of minimal prime $D$−filters of Almost Distributive Lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 343-368
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The concept of D-filters is introduced in an Almost Distributive Lattice (ADL) and studied their properties. An equivalency is established between the minimal prime D-filters of an ADL and its quotient ADL with respect to a congruence. Finally, some properties of prime D-filters and minimal prime D-filters of an ADL are studied topologically.
Keywords:
Almost Distributive Lattice (ADL), prime filter, D-filter, D-normal ADL, congruence, compact, Hausdorff space, closure
@article{DMGAA_2024_44_2_a7,
author = {Rafi, N. and Vijaya Saradhi, P. and Balaiah, M.},
title = {The space of minimal prime $D$\ensuremath{-}filters of {Almost} {Distributive} {Lattices}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {343--368},
publisher = {mathdoc},
volume = {44},
number = {2},
year = {2024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a7/}
}
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Rafi, N.; Vijaya Saradhi, P.; Balaiah, M. The space of minimal prime $D$−filters of Almost Distributive Lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 2, pp. 343-368. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_2_a7/