On the transitivity of the relation \(\beta\) in semihypergroups (Q1373426)
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scientific article; zbMATH DE number 1089793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the transitivity of the relation \(\beta\) in semihypergroups |
scientific article; zbMATH DE number 1089793 |
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On the transitivity of the relation \(\beta\) in semihypergroups (English)
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10 August 1998
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A significant result in the hypergroup theory is the one given by D. Freni in 1991, that is that in a hypergroup \(\beta=\beta^*\). The aim of the paper under review is to characterize semihypergroups in which the relation \(\beta\) is transitive. The main theorem gives a necessary and sufficient condition such that \(\beta\) is transitive. As a corollary of this theorem the transitivity of \(\beta\) in hypergroups is proved again.
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semihypergroups
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transitivity of \(\beta\)
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hypergroups
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