
doi: 10.7151/dmgaa.1342
Summary: In this paper, we initiate the discourse on the properties that hold in an almost semi-Heyting algebra but not in an semi-Heyting almost distributive lattice. We establish an equivalent condition for an almost semi-Heyting algebra to become a Stone almost distributive lattice. Moreover a glance about dense elements in an almost semi-Heyting algebra followed by study of some algebraic properties on them. Finally, we perceive that the kernel of homomorphism is equal to the dense element set.
semi-heyting almost distributive lattice, almost semi-heyting algebra, primary 06d99, semi-Heyting almost distributive lattice, secondary 06d20, almost semi-Heyting algebra, dense element and stone almost distributive lattice, almost distributive lattice, QA1-939, Heyting algebras (lattice-theoretic aspects), Other generalizations of distributive lattices, Mathematics
semi-heyting almost distributive lattice, almost semi-heyting algebra, primary 06d99, semi-Heyting almost distributive lattice, secondary 06d20, almost semi-Heyting algebra, dense element and stone almost distributive lattice, almost distributive lattice, QA1-939, Heyting algebras (lattice-theoretic aspects), Other generalizations of distributive lattices, Mathematics
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