Nil systems and radicals in alternative Artin rings
Matematičeskie zametki, Tome 11 (1972) no. 3, pp. 299-306
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It is proved that: 1) under an essential restriction the enveloping ring of a weakly closed nil system in an alternative Artin ring is nilpotent; 2) the radical of an alternative ring is an intersection of all its maximal nilpotent subrings. There are 8 references.
@article{MZM_1972_11_3_a8,
author = {A. S. Markovichev},
title = {Nil systems and radicals in alternative {Artin} rings},
journal = {Matemati\v{c}eskie zametki},
pages = {299--306},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_3_a8/}
}
A. S. Markovichev. Nil systems and radicals in alternative Artin rings. Matematičeskie zametki, Tome 11 (1972) no. 3, pp. 299-306. http://geodesic.mathdoc.fr/item/MZM_1972_11_3_a8/