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math.CT2026
Quotients of mosaics and related hyperstructures
Siddhant Jajodia, So Nakamura, Manuel Reyes
This is a thorough study of quotients of hyperstructures that generalize hypergroups, namely mosaics and semimosaics. The quotients in these categories generalize those studied pre…
math.CT2025
Categories of hypermagmas, hypergroups, and related hyperstructures
So Nakamura, Manuel L. Reyes
In order to diagnose the cause of some defects in the category of canonical hypergroups, we investigate several categories of hyperstructures that generalize hypergroups. By allowi…