Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A HOMOLOGICAL CHARACTERIZATION OF KRULL DOMAINS

  • Wang, Fang Gui (College of Mathematics and Software Science Sichuan Normal University) ;
  • Zhou, De Chuan (College of Science Southwest University of Science and Technology)
  • Received : 2017.03.07
  • Accepted : 2017.06.08
  • Published : 2018.03.31
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Abstract

Let R be a commutative ring. In this paper, the w-projective Basis Lemma for w-projective modules is given. Then it is shown that for a domain, nonzero w-projective ideals and nonzero w-invertible ideals coincide. As an application, it is proved that R is a Krull domain if and only if every submodule of finitely generated projective modules is w-projective.

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References

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