Modules with Unique Closure Relative to a Torsion Theory. III

• Date: 2014
• Main Authors: Doğruöz, S., Harmanci, A., Smith, P. F., Догруоз, С., Харманці, А., Сміт, П. Ф.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2188
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...