Rafi, N.; Bandaru, Ravi Kumar; Rao, G. C. Prime O-ideals in almost distributive lattices. (English) Zbl 1349.06009 Southeast Asian Bull. Math. 39, No. 6, 841-850 (2015). Summary: In this paper we derive some sufficient conditions for a prime ideal of an almost distributive lattice (ADL) to become an O-ideal. A set of equivalent conditions are established for every O-ideal to become an annihilator ideal. An equivalency is obtained between prime O-ideals and minimal prime ideals of an ADL. Finally, we obtain that any two distinct prime O-ideals of an ADL are co-maximal. Cited in 1 Document MSC: 06B10 Lattice ideals, congruence relations 06D75 Other generalizations of distributive lattices Keywords:prime O-ideal; filter; annihilator ideal PDFBibTeX XMLCite \textit{N. Rafi} et al., Southeast Asian Bull. Math. 39, No. 6, 841--850 (2015; Zbl 1349.06009)