$e$−filters in Stone Almost Distributive Lattices

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


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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