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arXiv · 2502.17467

Functors Associated to Relations on Hypergroups and Hypermodules

Behnam Afshar·Reza Ameri
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Abstract

If H is a strongly regular hypergroup, we show that the set of regular relations on H and the set of subhypergroups containing $0_{H}$ 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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Behnam Afshar, Reza Ameri. 2025-02-12. Functors Associated to Relations on Hypergroups and Hypermodules. https://arxiv.org/abs/2502.17467

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