e-filters in Stone Almost Distributive Lattices

Authors

  • N. Rafi
  • Ravi Kumar Bandaru
  • G. C. Rao

Keywords:

Almost Distributive Lattice(ADL), Pseudo-complemented ADL, Stone ADL, Disjunctive ADL, maximal filter, e-filter, prime ideal, dense element

Abstract

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

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Published

2019-12-20

Issue

Vol. 7 (2015): December 2015

Section

Research Articles