Abelian dqt-groups and rings on them
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 53-67
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The absolute radical of an Abelian group $G$ is the intersection of radicals of all associative rings with additive group $G$. The problem of describing absolute radicals was formulated by L. Fuchs. He described the absolute Jacobson radical of a torsion Abelian group. In this work, the absolute Jacobson radical and the absolute nil-radical are investigated in some mixed Abelian group classes.
@article{FPM_2013_18_3_a4,
author = {E. I. Kompantseva},
title = {Abelian dqt-groups and rings on them},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {53--67},
publisher = {mathdoc},
volume = {18},
number = {3},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/}
}
E. I. Kompantseva. Abelian dqt-groups and rings on them. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 3, pp. 53-67. http://geodesic.mathdoc.fr/item/FPM_2013_18_3_a4/