Geodesic
Hyper BCI-algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 5-19

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We introduce the concept of a hyper BCI-algebra which is a generalization of a BCI-algebra, and investigate some related properties. Moreover we introduce a hyper BCI-ideal, weak hyper BCI-ideal, strong hyper BCI-ideal and reflexive hyper BCI-ideal in hyper BCI-algebras, and give some relations among these hyper BCI-ideals. Finally we discuss the relations between hyper BCI-algebras and hyper groups, and between hyper BCI-algebras and hyper H_v-groups.
Keywords: hyper BCI-algebra, hyper group, hyper $H_{v}$-group 
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Xin, Xiao. Hyper BCI-algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 26 (2006) no. 1, pp. 5-19. http://geodesic.mathdoc.fr/item/DMGAA_2006_26_1_a0/