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Applications of the \(\alpha^*\)-relation to Krasner hyperrings. - MaRDI portal

Applications of the \(\alpha^*\)-relation to Krasner hyperrings. (Q1938547)

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scientific article; zbMATH DE number 6138252
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English
Applications of the \(\alpha^*\)-relation to Krasner hyperrings.
scientific article; zbMATH DE number 6138252

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    Applications of the \(\alpha^*\)-relation to Krasner hyperrings. (English)
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    21 February 2013
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    The \(\alpha^*\)-relation defined on additive hyperrings in the sense of Krasner, is the corresponding fundamental relation in order to have a commutative ring by a quotient. The tool of the \(\alpha^*\)-relation is used to study Krasner's hyperrings using hyperideals and proving important isomorphism theorems on the related topic.
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    Krasner hyperrings
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    fundamental relations
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    equivalences
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