On some classes of hyperstructures (Q1808818)

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scientific article; zbMATH DE number 1369804
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On some classes of hyperstructures
scientific article; zbMATH DE number 1369804

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    On some classes of hyperstructures (English)
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    16 July 2000
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    The authors continue their study on the subject of the multiplicative hyperrings. Results on integral hyperrings and hyperdomains are obtained. Moreover, they continue to obtain some results on special subsets of a multiplicative hyperring. Hyperrings endowed with weak unities are proved to have some more properties especially in the class of weak hyperskewfields. Finally a non-associative hyperalgebra, related to a Steiner hyperalgebra, is introduced.
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    multiplicative hyperrings
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    integral hyperrings
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    hyperdomains
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    weak unities
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    weak hyperskewfields
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    non-associative hyperalgebras
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    Steiner hyperalgebras
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