On radicals in the category of modules over a~csp-ring
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 59-65
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We obtain a complete description of torsions and cotorsions of the category of modules over an arbitrary csp-ring. It is also proved that all radical classes of this category are closed under pure submodules.
Mots-clés :
module, torsion, cotorsion
Keywords: radical, pure submodule, csp-ring.
Keywords: radical, pure submodule, csp-ring.
@article{VTGU_2011_3_a6,
author = {E. A. Timoshenko},
title = {On radicals in the category of modules over a~csp-ring},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {59--65},
publisher = {mathdoc},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2011_3_a6/}
}
E. A. Timoshenko. On radicals in the category of modules over a~csp-ring. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2011), pp. 59-65. http://geodesic.mathdoc.fr/item/VTGU_2011_3_a6/