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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 24–28
(Mi vmumm3488)
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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
Citation:
L. A. Skornyakov, “Schreier and Hall varieties of unary algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 24–28
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https://www.mathnet.ru/eng/vmumm3488 https://www.mathnet.ru/eng/vmumm/y1983/i3/p24
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Abstract page: | 79 | Full-text PDF : | 34 |
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