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Finiteness Properties of Varieties and the Restriction to Finite Algebras

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An Erratum to this article was published on 11 May 2017

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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  1. Department of Mathematics, La Trobe University, Victoria 3086, Australia

    Marcel Jackson

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  1. Marcel Jackson
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Correspondence to Marcel Jackson.

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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

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