Modules with unique closure relative to a torsion theory. III

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Dogruoz, S., Harmanci, A., Smith, P.F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166051
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Modules with unique closure relative to a torsion theory. III / S. Dogruoz, A. Harmanci, P.F. Smith // Український математичний журнал. — 2014. — Т. 66, № 7. — С. 922–929. — Бібліогр.: 10 назв. — англ.

We continue the study of modules over a general ring R whose submodules have a unique closure relative to a hereditary torsion theory on Mod-R. It is proved that, for a given ring R and a hereditary torsion theory τ on Mod-R, every submodule of every right R-module has a unique closure with respect...