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UC modules with respect to a torsion theory

Ceken, Secil; Alkan, Mustafa


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{
  "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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