On generalizations of vector and Banach spaces by hyperstructres
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زبان مدرک
Englishچکیده
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.
کلید واژگان
$m$-ary hypervector spaceKrasner $(m
n)$-hyperfield
Hypernorm
$m$-ary hyper Banach space
شماره نشریه
2تاریخ نشر
2020-04-011399-01-13
ناشر
Yazd Universityسازمان پدید آورنده
Department of mathematics, University of Hormozgan, Hormozgan, Bandar abbas, Iran.Institute of Mathematics,Yunnan University, Kunming, 650091, P.R. China
شاپا
2382-97612423-3447
