On Strongly $H_{v}$-groups

On Strongly $H_{v}$ -groups

Document Type : Research Paper

Authors

¹ department of Math Vali-e-Asr University of Rafsanjan

² Vali-e-Asr university of Rafsanjan

Abstract

‎The largest class of hyperstructures is the one which satisfies the weak properties; these are called

H_{v}

-structures‎. ‎In this paper we introduce a special product of elements in

H_{v}

-group

H

and define a new class of

H_{v}

-groups called strongly

H_{v}

-groups‎. ‎Then we show that in strongly

H_{v}

-groups

β = β^{*}

‎. ‎Also we express

θ

-hyperoperation and investigate some of its properties in connection with strongly

H_{v}

-groups‎.

Keywords