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.
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Acknowledgements
The author is sincerely grateful to Professor Boris Vernikov for his attention and assistance in the writing of the article, to Dr. Edmond W.H. Lee for offering of a shorter proof of Theorem 1.1 and his numerous valuable suggestions for improving the manuscript and to the anonymous referee for several useful remarks.
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Communicated by Marcel Jackson.
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The work is supported by the Ministry of Science and Higher Education of the Russian Federation (Project 1.6018.2017/8.9) and by Russian Foundation for Basic Research (Grant 17-01-00551).
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Gusev, S.V. A new example of a limit variety of monoids. Semigroup Forum 101, 102–120 (2020). https://doi.org/10.1007/s00233-019-10078-1
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DOI: https://doi.org/10.1007/s00233-019-10078-1