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
DOI: 10.18514/MMN.2022.3876

Download: MMN-3876