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J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 2, Pages 144–148 (Mi jsfu469)  

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

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Bibliographic databases:

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), 144–148

Citation in format AMSBIB
\Bibitem{Bar16}
\by Ilia~V.~Barkov
\paper Bidiagonal ranks of completely (0-)simple semigroups
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 2
\pages 144--148
\mathnet{http://mi.mathnet.ru/jsfu469}
\crossref{https://doi.org/10.17516/1997-1397-2016-9-2-144-148}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412008200002}


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  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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