m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets

Author(s):

S. Ostadhadi , Dehkordi

Abstract:
In this paper, we have generalized the definition of vector space by considering the group as a canonical $m$-ary hypergroup, the field as a krasner $(m,n)$-hyperfield and considering the multiplication structure of a vector by a scalar as hyperstructure. Also we will be consider a normed $m$-ary hypervector space and introduce the concept of convergence of sequence on $m$-ary hypernormed spaces and bundle subset.
Keywords:

m , Ary hypervector space , Krasner (m , n) , hyperfield , Bundle subsets , Hypernorm

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 2, Nov 2016
Pages:
23 to 41
https://www.magiran.com/p1601373