Strongly duo modules and rings

H Khabazian, S Safaeeyan… - Communications in …, 2010 - Taylor & Francis
An R-module M is called strongly duo if Tr (N, M)= N for every N≤ MR. Several equivalent
conditions to being strongly duo are given. If MR is strongly duo and reduced, then End R …

Modules with Unique Closure Relative to a Torsion Theory. III

S Doğruöz, A Harmanci, PF Smith - Ukrainian Mathematical Journal, 2014 - Springer
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 …