UC modules with respect to a torsion theory

Authors : Seçil ÇEKEN, Mustafa ALKAN

Pages : 376-385

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Publication Date : 0000-00-00

Article Type : Research Paper

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 t-closed submodule which was studied in [2]. We compare UC and t-UC modules and examine the relationships between them. We also give some examples of t-UC and UC modules and submodules which have a unique t-closure and unique closure.
Keywords : Hereditary torsion theory, t closed submodule, UC module, t UC module