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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: $m$-ary hypervector space,Krasner $(m,n)$-hyperfield,Hypernorm,$m$-ary hyper Banach space
- چکیده:
- چکیده انگلیسی: 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.
- انتشار مقاله: 17-11-1398
- نویسندگان: Sohrab Ostadhadi Dehkordi,Kar Ping Shum
- مشاهده
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: $Gamma$-hyperring,$Gamma$-hyperideal,fuzzy soft $Gamma$-hyperring,regular soft $Gamma$-relation,strongly soft $Gamma$- relation
- چکیده:
- چکیده انگلیسی: The concept of fuzzy soft $Gamma$-hyperrings introduced by J. Zhan et al. as a generalization of the soft rings. In this paper, we prove the equivalence relation $mu^{ast}$ defined by J. Zhan et al. is a strongly soft $Gamma$-regular relation and hyperoperations defined on quotient fuzzy soft $Gamma$-hyperrings are just operations. Also, we define the equivalence relation $mu^{ast}_I$ as a generalization the relation $mu^{ast}$ and consider quotient fuzzy soft $Gamma$-hyperrings and isomorphism theorems by this
regular relation.- انتشار مقاله: 07-02-1397
- نویسندگان: Sohrab Ostadhadi Dehkordi,Behnaz Sheikh Hoseini
- مشاهده