Geodesic
Quasi-Complemented BE-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 265-282

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The concept of O-filters is introduced in commutative BE-algebras. An equivalent condition is derived for every strong regular filter of a BE-algebra to become an O-filter. The concept of quasi-complemented BE-algebras is introduced and also characterized these classes of BE-algebras in terms of dual annihilators. The concept of strong regular filter is introduced and then quasi-complemented BE-algebras and strong BE-algebras are characterized in terms of strong regular filters and O-filters.
Keywords: O-filter, strong regular filter, commutative BE-algebra, quasi-complemented BE-algebra, strong BE-algebra 
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Kumar, V. Venkata; Rao, M. Sambasiva; Vali, S. Kalesha. Quasi-Complemented BE-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 265-282. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_2_a4/