Volume 11, Issue 2 (11-2016)
IJMSI 2016, 11(2): 23-41 |
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Ostadhadi-Dehkordi S. m-Ary Hypervector Space: Convergent Sequences and Bundle Subsets.. IJMSI 2016; 11 (2) :23-41
URL: http://ijmsi.ir/article-1-411-en.html
URL: http://ijmsi.ir/article-1-411-en.html
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.
Type of Study: Research paper |
Subject:
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