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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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