On generalizations of vector and Banach spaces by hyperstructres

Author(s):

Sohrab Ostadhadi dehkordi* , Kar Ping Shum

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Algebraic Structures and Their Applications, Volume:7 Issue: 2, winter-spring 2020
Pages:
163 to 177
https://www.magiran.com/p2197658