Authors: SEÇİL ÇEKEN, MUSTAFA ALKAN
Abstract: 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.
Keywords: Hereditary torsion theory, \tau-closed submodule, UC module, \tau-UC module
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