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- W3017382753 abstract "Let $G$ be a monoid with identity $e$. In this paper, first we introduce the notions of $G$-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring $R$. Also, we define the notion of a greded $R$-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring $R$. Finally, we study graded maximal, graded prime and graded primary subhypermodules of a graded $R$-hypermodule $M$ and some interesting results on these concepts are given." @default.
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- W3017382753 date "2020-04-01" @default.
- W3017382753 modified "2023-09-23" @default.
- W3017382753 title "On graded hyperrings and graded hypermodules" @default.
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- W3017382753 doi "https://doi.org/10.29252/as.2020.1791" @default.
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