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Fundamental relation onm-idempotent hyperrings

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Norouzi M., Cristea I.

Open Mathematics

2017

tom 15

nr 1

1558-1567

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 [...] εm∗ $\varepsilon^{*}_{m} $, smaller than γ* and we prove it is the smallest strongly regular relation on such hyperrings such that the quotient R/ [...] εm∗ $\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 [...] εm∗ $\varepsilon^{*}_{m} $ is a new exhibition for γ* on the above mentioned subclass of m-idempotent hyperrings.

Ograniczanie wyników

1 Open Mathematics

1 Cristea I.

1 Norouzi M.

1 2017

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Fundamental relation onm-idempotent hyperrings