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On bases of identities of finite inverse semigroups with solvable subgroups

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Abstract

It is shown that every finite inverse semigroup having only solvable subgroups,viewed as a semigroup with the additional unary operation of inversion, has nofinite basis of identities, unless it is a strict inverse semigroup.

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Authors and Affiliations

  1. Department of Mathematics, Masaryk University, Janáckovo nám. 2a, 662 95, Brno, Czech Republic

    Jiri Kad’ourek

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  1. Jiri Kad’ourek
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Correspondence to Jiri Kad’ourek.

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Communicated by L. N. Shevrin

Research partially supported by the Ministry of Education of the Czech Republic under the project MSM 143100009.

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Kad’ourek, J. On bases of identities of finite inverse semigroups with solvable subgroups. Semigroup Forum 67, 317–343 (2003). https://doi.org/10.1007/s00233-001-0005-x

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  • DOI: https://doi.org/10.1007/s00233-001-0005-x

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