Free factor algebras of free linear $\Omega$-algebras
Matematičeskie zametki, Tome 11 (1972) no. 5, pp. 537-544.

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This paper concerns free linear $\Omega$-algebras in certain varieties and their subalgebras and factor algebras. Conditions are given ensuring that an epimorphic image of a free linear $\Omega$-algebra in a variety given by permutation identities of zero order is free in this variety. An example is constructed of a variety of linear algebras in which this assertion is false.
@article{MZM_1972_11_5_a7,
     author = {M. S. Burgin},
     title = {Free factor algebras of free linear $\Omega$-algebras},
     journal = {Matemati\v{c}eskie zametki},
     pages = {537--544},
     publisher = {mathdoc},
     volume = {11},
     number = {5},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_5_a7/}
}
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M. S. Burgin. Free factor algebras of free linear $\Omega$-algebras. Matematičeskie zametki, Tome 11 (1972) no. 5, pp. 537-544. http://geodesic.mathdoc.fr/item/MZM_1972_11_5_a7/