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Ceken, Secil; Alkan, Mustafa
{ "DOI": "10.3906/mat-1009-33", "abstract": "In tins 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 [2]. 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.", "author": [ { "family": "Ceken", "given": " Secil" }, { "family": "Alkan", "given": " Mustafa" } ], "container_title": "TURKISH JOURNAL OF MATHEMATICS", "id": "86865", "issue": "3", "issued": { "date-parts": [ [ 2012, 1, 1 ] ] }, "page": "376-385", "title": "UC modules with respect to a torsion theory", "type": "article-journal", "volume": "36" }
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