m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.
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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.
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Journal title
volume 11 issue None
pages 23- 41
publication date 2016-11
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