2 papers
math.GR2022
Supernilpotent Semigroups
Jelena Radović, Nebojša Mudrinski
Regular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability and…
math.RA2022
Commutators in Completely Simple Semigroups
Jelena Radović, Nebojša Mudrinski
We obtain a characterization of the binary commutator on completely simple semigroups, using their Rees matrix representation. Consequently, we prove that a regular semigroup is ni…