# Hyper BCI-algebras

Discussiones Mathematicae - General Algebra and Applications (2006)

- Volume: 26, Issue: 1, page 5-19
- ISSN: 1509-9415

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topXiao Long Xin. "Hyper BCI-algebras." Discussiones Mathematicae - General Algebra and Applications 26.1 (2006): 5-19. <http://eudml.org/doc/276842>.

@article{XiaoLongXin2006,

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.},

author = {Xiao Long Xin},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {hyper BCI-algebra; hyper group; hyper $H_\{v\}$-group; hyper BCI-algebra, hypergroup; hyper -group},

language = {eng},

number = {1},

pages = {5-19},

title = {Hyper BCI-algebras},

url = {http://eudml.org/doc/276842},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Xiao Long Xin

TI - Hyper BCI-algebras

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2006

VL - 26

IS - 1

SP - 5

EP - 19

AB - 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.

LA - eng

KW - hyper BCI-algebra; hyper group; hyper $H_{v}$-group; hyper BCI-algebra, hypergroup; hyper -group

UR - http://eudml.org/doc/276842

ER -

## References

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