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arxiv: 1207.4296 · v1 · pith:E4W27SPTnew · submitted 2012-07-18 · 🧮 math.CT · math.RA

The structure of generalized inverse semigroups

classification 🧮 math.CT math.RA
keywords inversesemigroupsgeneralizedstructureactionsclassicaldeterminedetale
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We prove that the structure of right generalized inverse semigroups is determined by free \'etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical struture theorem for generalized inverse semigroups.

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