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Bidiagonal ranks of completely (0-)simple semigroups Ilia V. Barkov National Research University of Electronic Technology, Shokin square, 1, Moscow, Zelenograd, 124498, Russia 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. DOI: https://doi.org/10.17516/1997-1397-2016-9-2-144-148   Full text:
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UDC: 512.53 Received: 12.09.2015 Received in revised form: 19.01.2016 Accepted: 24.02.2016 Language: Citation: Ilia V. Barkov, “Bidiagonal ranks of completely (0-)simple semigroups”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 
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