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Intermediate Semigroups are Groups

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Abstract.

\noindent We consider the lattice of subsemigroups of the general linear group over an Artinian ring containing the group of diagonal matrices and show that every such semigroup is actually a group.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics St.Petersburg State , University 2 Bibliotechnaya Square St. Petersburg 198904, Russia, RU

    Alexandre A. Panin

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  1. Alexandre A. Panin
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August 25, 1999

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Panin, A. Intermediate Semigroups are Groups. Semigroup Forum 62, 423–429 (2000). https://doi.org/10.1007/s002330010040

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  • DOI: https://doi.org/10.1007/s002330010040

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