Hyper BCI-algebras

Xiao Xin

ArticleOriginal scientific text

Title

Hyper BCI-algebras

Authors ¹

Affiliations

Department of Mathematics, Northwest University, Xian 710069, P. R. China

Abstract

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

ENG

hyper BCI-algebra, hyper group, hyper

H_{v}

-group

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Title

Hyper BCI-algebras

Affiliations

Abstract

Keywords

Bibliography