• ON PRIME IDEAL CHARACTERIZATION OF QUASI-COMPLEMENTED ALMOST DISTRIBUTIVE LATTICES

G. C. Rao*, G. Nanaji Rao, A. Lakshmana

Abstract


Some necessary and sufficient conditions for an Almost Distributive Lattice (ADL) to become a quasi-complemented ADL in topological and algebraic terms are proved. Characterization of quasi-complemented Almost Distributive Lattice in terms of prime ideals and minimal prime ideals are established.


Keywords


Almost Distributive Lattice, ∗-ADL, prime ideal, minimal prime ideal, quasi-complemented ADLs.

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