Simple Divisible Modules Over Integral Domains
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 230-240
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An R-module is a simple divisible module if it is a nonzero divisible module that has no proper non-zero divisible submodules. We study simple divisible modules and their endomorphism rings, give some examples and determine all simple divisible modules over some classes of rings.
Mots-clés :
13C13, 13G05, Divisible modules, Modules over integral domains
Facchini, Alberto. Simple Divisible Modules Over Integral Domains. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 230-240. doi: 10.4153/CMB-1989-034-3
@article{10_4153_CMB_1989_034_3,
author = {Facchini, Alberto},
title = {Simple {Divisible} {Modules} {Over} {Integral} {Domains}},
journal = {Canadian mathematical bulletin},
pages = {230--240},
year = {1989},
volume = {32},
number = {2},
doi = {10.4153/CMB-1989-034-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-034-3/}
}
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