Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 24–28 (Mi vmumm3488)  

Mathematics

Schreier and Hall varieties of unary algebras

L. A. Skornyakov
Abstract: To every variety of unary algebras is put into correspondence a pair $(R,I)$, where $R$ is a monoid and $I$ is its left ideal satisfying the condition $\nu\lambda=\nu$ for all $\nu\in I$ and $\lambda\in R$. Properties of this pair are indicated which are equivalent to the original variety being a Schreier one (subalgebras of free algebras are free) or being a Hall variety (retracts of free algebras are free).
Received: 19.11.1982
Bibliographic databases:
Document Type: Article
UDC: 512.8
Language: Russian
Citation: L. A. Skornyakov, “Schreier and Hall varieties of unary algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 24–28
Citation in format AMSBIB
\Bibitem{Sko83}
\by L.~A.~Skornyakov
\paper Schreier and Hall varieties of unary algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 24--28
\mathnet{http://mi.mathnet.ru/vmumm3488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0705596}
\zmath{https://zbmath.org/?q=an:0524.08006}
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