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Good strongly regular relations on weak \(\Gamma\)-(semi)hypergroups. (English) Zbl 1381.20058

Summary: In this paper first we introduce the notion of weak \(\Gamma\)-(semi)hypergroups, next some classes of equivalence relations which are called good regular and strongly good regular relations are defined. Then we investigate some properties of this kind of relations on weak \(\Gamma\)-(semi)hypergroups.

MSC:

20N20 Hypergroups
20M99 Semigroups
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