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In this paper, we discuss several properties of ideals, filters, annihilators and maximisors in a general Almost Distributive Lattices (ADLs) and in particular, Almost Boolean Algebras (ABAs). Also, we characterize… Click to show full abstract
In this paper, we discuss several properties of ideals, filters, annihilators and maximisors in a general Almost Distributive Lattices (ADLs) and in particular, Almost Boolean Algebras (ABAs). Also, we characterize extreme ideals and filters. Further, several equivalent conditions are obtained in terms of ideals and filters for an ADL to become an ABA.
Keywords:
ideals filters;
prime ideals;
characterization prime;
filters abas
Journal Title: Asian-European Journal of Mathematics
Year Published: 2019
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Journal Title: Asian-European Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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recommendations!