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Semigroup ForumVolume 101, Issue 1, 1 August 2020, Pages 102-120

A new example of a limit variety of monoids(Article)(Open Access)

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  • Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, Yekaterinburg, 620000, Russian Federation

Abstract

A variety of universal algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. Until recently, only two explicit examples of limit varieties of monoids, constructed by Jackson, were known. Recently Zhang and Luo found the third example of such a variety. In our work, one more example of a limit variety of monoids is given. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Author keywords

Finite basis problemFinitely based varietyLimit varietyMonoidNon-finitely based varietyVariety
  • ISSN: 00371912
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1007/s00233-019-10078-1
  • Document Type: Article
  • Publisher: Springer

  Gusev, S.V.; Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, Yekaterinburg, Russian Federation;
© Copyright 2020 Elsevier B.V., All rights reserved.

Cited by 8 documents

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(2023) Journal of Algebra
Gusev, S.V.
Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive
(2023) Monatshefte fur Mathematik
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