Abstract:
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.
Keywords:act over a semigroup, diagonal rank, completely (0-)simple semigroup.
UDC:512.53
Received: 12.09.2015 Received in revised form: 19.01.2016 Accepted: 24.02.2016
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