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- W2783164392 abstract "Abstract The γ * -relation defined on a general hyperring R is the smallest strongly regular relation such that the quotient R / γ * is a ring. In this note we consider a particular class of hyperrings, where we define a new equivalence, called $varepsilon^{*}_{m} $ , smaller than γ * and we prove it is the smallest strongly regular relation on such hyperrings such that the quotient R / $varepsilon^{*}_{m} $ is a ring. Moreover, we introduce the concept of m -idempotent hyperrings, show that they are a characterization for Krasner hyperfields, and that $varepsilon^{*}_{m} $ is a new exhibition for γ * on the above mentioned subclass of m -idempotent hyperrings." @default.
- W2783164392 created "2018-01-26" @default.
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- W2783164392 date "2017-12-29" @default.
- W2783164392 modified "2023-10-14" @default.
- W2783164392 title "Fundamental relation on m-idempotent hyperrings" @default.
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- W2783164392 doi "https://doi.org/10.1515/math-2017-0128" @default.
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