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\(TL\)-subpolygroups of a polygroup. (English) Zbl 1004.20056

Summary: Applications of hypergroups have mainly appeared in special subclasses. We consider polygroups which are certain subclasses of hypergroups. We adopt the definition of triangular norm \(T\) on a lattice \(L\) and define the \(TL\)-subpolygroup of a polygroup, then we establish several characterizations of \(TL\)-subpolygroups.

MSC:

20N20 Hypergroups
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