Closed classes of left-$\Lambda$ modules and closed sets of left ideals of ring $\Lambda$
Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 381-390
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The paper considers classes of $\Lambda$-modules which are completely described by the set of annihilators of the elements of the modules of these classes. A number of conditions on such classes are translated into the language of left ideals. The connections found between classes of $\Lambda$-modules and sets of left ideals of ring $\Lambda$ are used for the characteristics of classes of $\Lambda$-modules related to the concept of torsion.
@article{MZM_1969_5_3_a12,
author = {A. I. Kashu},
title = {Closed classes of left-$\Lambda$ modules and closed sets of left ideals of ring $\Lambda$},
journal = {Matemati\v{c}eskie zametki},
pages = {381--390},
publisher = {mathdoc},
volume = {5},
number = {3},
year = {1969},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a12/}
}
A. I. Kashu. Closed classes of left-$\Lambda$ modules and closed sets of left ideals of ring $\Lambda$. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 381-390. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a12/