Some notes on modules in which all submodules have a unique closure
- Özgür Tasdemir,
Trakya University, Department of Business Administration, Faculty of Economics and Administrative Sciences, Balkan Campus, 22030 Edirne, Turkey,
A module M is called a UC-module if whenever every submodule of M has a unique closure. In this paper, we establish new characterizations of several well-studied classes of rings in terms of UC-modules, and show that right UC-modules can not be a Morita invariant property. In addition, we study the behaviour of UC-modules under excellent extensions of rings.
Vol. 23 (2022), No. 2, pp. 947-956