UC modules with respect to a torsion theory
Authors : Seçil Çeken, Mustafa Alkan
Pages : 376-385
View : 6 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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