Geodesic
Associative rings the radicals over which are subrings
Matematičeskie zametki, Tome 11 (1972) no. 1, pp. 33-40.

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The paper studies the structure of algebras which are radicals over $PI$-subalgebras. In particular, a theorem is proven to the effect that an algebra without nil-ideals which is a radical over a right $PI$-ideal is a $PI$-algebra. 
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     author = {Yu. N. Mal'tsev},
     title = {Associative rings the radicals over which are subrings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {33--40},
     publisher = {mathdoc},
     volume = {11},
     number = {1},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_1_a4/}
}
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Yu. N. Mal'tsev. Associative rings the radicals over which are subrings. Matematičeskie zametki, Tome 11 (1972) no. 1, pp. 33-40. http://geodesic.mathdoc.fr/item/MZM_1972_11_1_a4/