Modules with Unique Closure Relative to a Torsion Theory
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 230-238
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We consider when a single submodule and also when every submodule of a module $M$ over a general ring $R$ has a unique closure with respect to a hereditary torsion theory on Mod- $R$ .
Doğruöz, S.; Harmanci, A.; Smith, P. F. Modules with Unique Closure Relative to a Torsion Theory. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 230-238. doi: 10.4153/CMB-2010-012-9
@article{10_4153_CMB_2010_012_9,
author = {Do\u{g}ru\"oz, S. and Harmanci, A. and Smith, P. F.},
title = {Modules with {Unique} {Closure} {Relative} to a {Torsion} {Theory}},
journal = {Canadian mathematical bulletin},
pages = {230--238},
year = {2010},
volume = {53},
number = {2},
doi = {10.4153/CMB-2010-012-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-012-9/}
}
TY - JOUR AU - Doğruöz, S. AU - Harmanci, A. AU - Smith, P. F. TI - Modules with Unique Closure Relative to a Torsion Theory JO - Canadian mathematical bulletin PY - 2010 SP - 230 EP - 238 VL - 53 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-012-9/ DO - 10.4153/CMB-2010-012-9 ID - 10_4153_CMB_2010_012_9 ER -
%0 Journal Article %A Doğruöz, S. %A Harmanci, A. %A Smith, P. F. %T Modules with Unique Closure Relative to a Torsion Theory %J Canadian mathematical bulletin %D 2010 %P 230-238 %V 53 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-012-9/ %R 10.4153/CMB-2010-012-9 %F 10_4153_CMB_2010_012_9
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