The space of minimal prime D−filters of Almost Distributive Lattices

Noorbhasha Rafi, P. Vijaya Saradhi, M. Balaiah · Discussiones Mathematicae - General Algebra and Applications · 2024

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.

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