Matematičeskie zametki, Tome 11 (1972) no. 1, pp. 33-40
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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/
@article{MZM_1972_11_1_a4,
author = {Yu. N. Mal'tsev},
title = {Associative rings the radicals over which are subrings},
journal = {Matemati\v{c}eskie zametki},
pages = {33--40},
year = {1972},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_1_a4/}
}
TY - JOUR
AU - Yu. N. Mal'tsev
TI - Associative rings the radicals over which are subrings
JO - Matematičeskie zametki
PY - 1972
SP - 33
EP - 40
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_1_a4/
LA - ru
ID - MZM_1972_11_1_a4
ER -
%0 Journal Article
%A Yu. N. Mal'tsev
%T Associative rings the radicals over which are subrings
%J Matematičeskie zametki
%D 1972
%P 33-40
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_1_a4/
%G ru
%F MZM_1972_11_1_a4
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.
