On an axiomatic description of weak purities in the category of modules
Sbornik. Mathematics, Tome 37 (1980) no. 1, pp. 71-82
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A class of purities that is a generalization of weak purity to the category of modules is studied. A one-to-one correspondence is established between these purities and certain classes of modules, and an intrinsic description of such purities is given, as well as the corresponding classes of modules. A description is also presented with the aid of sets of right ideals of a ring.
Bibliography: 10 titles.
@article{SM_1980_37_1_a4,
author = {A. I. Generalov},
title = {On an axiomatic description of weak purities in the category of modules},
journal = {Sbornik. Mathematics},
pages = {71--82},
publisher = {mathdoc},
volume = {37},
number = {1},
year = {1980},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1980_37_1_a4/}
}
A. I. Generalov. On an axiomatic description of weak purities in the category of modules. Sbornik. Mathematics, Tome 37 (1980) no. 1, pp. 71-82. http://geodesic.mathdoc.fr/item/SM_1980_37_1_a4/