Menger algebras of idempotent n-ary operations
Wiesław A. Dudek, Valentin S. Trokhimenko · Studia Scientiarum Mathematicarum Hungarica · 2018
It is proved that the set of all idempotent operations defined on a given set forms a Menger algebra which can be characterized by its densely embedded v-ideal. We also describe automorphisms of this algebra.