Fundamental commutative (m, n)-rings obtained from (m, n)-hyperrings
Publish place: Caspian Journal of Mathematical Sciences، Vol: 8، Issue: 2
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CJMS-8-2_008
تاریخ نمایه سازی: 27 بهمن 1399
Abstract:
We introduce the fundamental relation, $\alpha^{*}$, on an $(m,n)$-hyperring $R$ and indicate that this relation is the smallest strongly regular equivalence relation on $R$ such that $R/\alpha^{*}$ is an commutative $(m, n)$-ring. We use $\alpha^{*}$-relation to construct the fundamental functor from category of $(m, n)$-hyperrings to the category of commutative $(m,n)$-rings. Finally, some necessary and sufficient conditions for transitivity of $\alpha$ are given.
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