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math.RA2026
Comparing Numbers of Diagonal Subsemigroups and Congruences for Semigroups
Callum Barber, Nik Ruškuc
Given a semigroup , a diagonal subsemigroup is defined to be a reflexive and compatible relation on , i.e. a subsemigroup of the direct square containing the…
math.RA2025
Ample generics in automorphism groups of Boolean powers of simple Mal'cev algebras
Peter Mayr, Nik Ruškuc
Let be a finite simple Mal'cev algebra, such as for example a finite simple group, module, ring, associative or Lie algebra, loop or quasigroup. We show that the autom…