Journal of Siberian Federal University. Mathematics & Physics / Bidiagonal Ranks of Completely (0-)simple Semigroups

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2016 9 (2)
Authors
Barkov, Ilia V.
Contact information
Barkov, Ilia V.:National Research University of Electronic Technology Shokin square, 1, Moscow, Zelenograd, 124498 Russia;
Keywords
act over a semigroup; diagonal rank; completely (0-)simple semigroup
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

Pages
144–148
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/20237