On pure hyperradical in semihypergroups. (Q1925570)

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scientific article; zbMATH DE number 6116554
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On pure hyperradical in semihypergroups.
scientific article; zbMATH DE number 6116554

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    On pure hyperradical in semihypergroups. (English)
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    18 December 2012
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    Summary: This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties in semihypergroups.
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    semihypergroups
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    pure hyperideals
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    semipure hyperideals
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    pure hyperradical
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