Geodesic
Schreier varieties of linear $\Omega$-algebras
Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 561-579

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A variety of universal algebras is called a Schreier variety if every subalgebra of any free algebra in that variety is also free in that variety. This paper gives a description of the Schreier varieties of linear $\Omega$-algebras over an associative commutative ring, defined by systems of homogeneous identities. As a corollary to these results one obtains a description of all Schreier varieties of linear $\Omega$-algebras over an infinite field (in particular, over a field of characteristic zero). These algebras include, in particular, nonassociative algebras. Bibliography: 25 titles. 
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     author = {M. S. Burgin},
     title = {Schreier varieties of linear $\Omega$-algebras},
     journal = {Sbornik. Mathematics},
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     number = {4},
     year = {1974},
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M. S. Burgin. Schreier varieties of linear $\Omega$-algebras. Sbornik. Mathematics, Tome 22 (1974) no. 4, pp. 561-579. http://geodesic.mathdoc.fr/item/SM_1974_22_4_a5/