Functors Associated to Relations on Hypergroups and Hypermodules

Key Points

• The study shows that in strongly regular hypergroups, regular relations form lattices that are isomorphic to subhypergroups.
• It highlights the properties of functors derived from strongly regular relations, and their implications for tensor products.
• The approach introduces unique free objects that can enhance our understanding of regular hypergroups and their structures.
• These findings underscore potential new pathways in the categorization and manipulation of hypergroups, potentially impacting various mathematical fields.