Geodesic
Quotient hyper pseudo BCK-algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 2, pp. 147-165

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In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals. Also, we introduce the notion of regular congruence relation on hyper pseudo BCK-algebras and investigate some related properties. By using this relation, we construct the quotient hyper pseudo BCK-algebra and give some related results.
Keywords: hyper pseudo BCK-algebra, normal hyper pseudo BCK-ideal, quotient hyper pseudo BCK-algebra 
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Harizavi, Habib; Koochakpoor, Tayebeh; Boorzoei, Rajab. Quotient hyper pseudo BCK-algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 33 (2013) no. 2, pp. 147-165. http://geodesic.mathdoc.fr/item/DMGAA_2013_33_2_a3/