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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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