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Classification of limit varieties of J-trivial monoids

Group Theory 2022-05-12 v2

Abstract

A variety of algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. We present a new pair of limit varieties of monoids and show that together with the five limit varieties of monoids previously discovered by Jackson, Zhang and Luo and the first-named author, there are exactly seven limit varieties of J-trivial monoids.

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Cite

@article{arxiv.2009.06904,
  title  = {Classification of limit varieties of J-trivial monoids},
  author = {S. V. Gusev and O. B. Sapir},
  journal= {arXiv preprint arXiv:2009.06904},
  year   = {2022}
}

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26 pages