Characterization of Almost Semi-Heyting Algebra
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 231-243
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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.
Keywords:
almost distributive lattice, semi-Heyting almost distributive lattice, almost semi-Heyting algebra, dense element and stone almost distributive lattice
@article{DMGAA_2020_40_2_a7,
author = {Srikanth, V.V.V.S.S.P.S. and Ratnamani, M.V. and Ramesh, S.},
title = {Characterization of {Almost} {Semi-Heyting} {Algebra}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {231--243},
publisher = {mathdoc},
volume = {40},
number = {2},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a7/}
}
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Srikanth, V.V.V.S.S.P.S.; Ratnamani, M.V.; Ramesh, S. Characterization of Almost Semi-Heyting Algebra. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 2, pp. 231-243. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_2_a7/