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On completely $$0$$-simple semigroups. (English) Zbl 0853.20047
An explicit matrix representation of a completely 0-simple semigroup $$S$$, with semisimple Artinian semigroup algebra $$F[S]$$ over an algebraically closed field $$F$$, is presented.

##### MSC:
 20M30 Representation of semigroups; actions of semigroups on sets 20M25 Semigroup rings, multiplicative semigroups of rings 16S36 Ordinary and skew polynomial rings and semigroup rings
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