A new example of a limit variety of monoids

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 varie...

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Veröffentlicht in:Semigroup forum 2020-08, Vol.101 (1), p.102-120
1. Verfasser: Gusev, S. V.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-019-10078-1