Abstract
It is known that the variety generated by a finite semigroup is finitely axiomatisable if and only if it is finitely axiomatisable in the class of finite semigroups (M. Sapir). We examine similar restrictions for most other common finiteness properties of semigroup varieties.
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An erratum to this article is available at http://dx.doi.org/10.1007/s00233-017-9861-x.
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Jackson, M. Finiteness Properties of Varieties and the Restriction to Finite Algebras. Semigroup Forum 70, 159–187 (2005). https://doi.org/10.1007/s00233-004-0161-x
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DOI: https://doi.org/10.1007/s00233-004-0161-x