3 papers
math.GR2026
Relational depth of transformation semigroups and their ideals
N. Ruškuc, Z. Yayi
We introduce the concept of relational depth of a finite semigroup whose -classes form a chain. It captures how far down in the ideal structure one is obliged to go in order…
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…