In this paper, we give some characterizations of modules M over a ring R such that every submodule has a unique closure relative to a hereditary torsion theory on Mod-R by using the concept of \tau-closed submodule which was studied in . We compare UC and \tau-UC modules and examine the relationships between them. We also give some examples of \tau-UC and UC modules and submodules which have a unique \tau-closure and unique closure.
Hereditary torsion theory, \tau-closed submodule, UC module, \tau-UC module
ÇEKEN, SEÇİL and ALKAN, MUSTAFA
"UC modules with respect to a torsion theory,"
Turkish Journal of Mathematics: Vol. 36:
3, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss3/4