Modules With Unique Closure Relative to a Torsion Theory II

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Dogruoz S., Harmanci A., Smith P. F.

TURKISH JOURNAL OF MATHEMATICS, cilt.33, sa.2, ss.111-116, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3906/mat-0712-16
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.111-116
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory tau on Mod-R using the fact that the module M satisfies a certain transitivity property on tau-closed submodules.