Bidiagonal Ranks of Completely (0-)simple Semigroups
I. V. Barkov · Journal of Siberian Federal University Mathematics & Physics · 2016
A bidiogonal act over a semigroup is a two-sided act, where the semigroup acts on its Cartesian power.A bidiagonal rank of a semigroup is the least power of a generating set of the bidiagonal act over this semigroup.In this paper we compute bidiagonal ranks of completely (0-)simple semigroups.