Bulletin of the Korean Mathematical Society (대한수학회보)

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LOCALIZATION OF INJECTIVE MODULES OVER ω-NOETHERIAN RINGS

  • Kim, Hwankoo (Department of Information Security Hoseo University) ;
  • Wang, Fanggui (Institute of Mathematics and Software Science Sichuan Normal University)
  • Received : 2011.10.23
  • Published : 2013.03.31
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Abstract

We give some characterizations of injective modules over ${\omega}$-Noetherian rings. It is also shown that each localization of a GV-torsion-free injective module over a ${\omega}$-Noetherian ring is injective.

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References

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