Title of article :
On generalizations of vector and Banach spaces by hyperstructres
Author/Authors :
Ostadhadi dehkordi, Sohrab Department of mathematics - University of Hormozgan, Hormozgan, Bandar abbas, Iran , 1Ping Shum, Kar Institute of Mathematics - Yunnan University, Kunming, P.R. China
Abstract :
In this paper, we generalize the vector space by considering the group as a canonical m-ary hypergroup, the field as a Krasner (m,n)-hyperfield. Moreover, we define the m-ary hyper Banach spaces and investigate some of their related properties.
Keywords :
m-ary hypervector space , Krasner $(m , n)$-hyperfield , Hypernorm , m -ary hyper Banach space
Journal title :
Journal of Algebraic Structures and Their Applications
