# $e$−ﬁlters in Stone Almost Distributive Lattices

CJM Vol. 7 (December 2015), pp. 16 – 28.

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Abstract:

The concept of $e$−ﬁlters is introduced in a Stone Almost Distributive lattice and element wise characterization is developed for $e$−ﬁlters. Several properties are derived on $e$−ﬁlters with the help of maximal ﬁlters. It is also proved that the set of all $e$−ﬁlters forms a complete distributive lattice.

2000 Mathematics Subject Classification:

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