4 papers
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…
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…
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…
Projection algebras and free projection- and idempotent-generated regular -semigroups
James East, Robert D. Gray, P. A. Azeef Muhammed +1
The purpose of this paper is to introduce a new family of semigroups - the free projection-generated regular -semigroups - and initiate their systematic study. Such a semigroup…