Article in volume
Authors:
Title:
The space of minimal prime $D$−filters of Almost Distributive Lattices
PDFSource:
Discussiones Mathematicae - General Algebra and Applications 44(2) (2024) 343-368
Received: 2023-01-09 , Revised: 2023-05-27 , Accepted: 2023-05-29 , Available online: 2024-10-28 , https://doi.org/10.7151/dmgaa.1467
Abstract:
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:
$D$-normal ADL, compact, Hausdorff space
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