Bidiagonal ranks of completely (0-)simple semigroups
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 144-148

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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.
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     title = {Bidiagonal ranks of completely (0-)simple semigroups},
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Ilia V. Barkov. Bidiagonal ranks of completely (0-)simple semigroups. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 144-148. http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a1/