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arxiv: 1207.1638 · v3 · pith:2ITVUAV7new · submitted 2012-07-06 · 🧮 math.GR

Finite semigroups that are minimal for not being Malcev nilpotent

classification 🧮 math.GR
keywords malcevnilpotenteveryfiniteminimalpropersemigroupsconsidered
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We give a description of finite semigroups $S$ that are minimal for not being Malcev nilpotent, i.e. every proper subsemigroup and every proper Rees factor semigroup is Malcev nilpotent but $S$ is not. For groups this question was considered by Schmidt.

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