Functors Associated to Relations on Hypergroups and Hypermodules
Abstract
If H is a strongly regular hypergroup, we show that the set of regular relations on H and the set of subhypergroups containing 0H are two lattices that are isomorphic to each other. In the next step, we introduce and study the properties of functors that are constructed by a sequence of strongly regular relations. This helps us to define a specific type of free objects and tensor products on the category of regular hypergroups.
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