Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON UNIFORMLY S-ABSOLUTELY PURE MODULES

  • Xiaolei Zhang (School of Mathematics and Statistics Shandong University of Technology)
  • Received : 2022.02.02
  • Accepted : 2023.02.02
  • Published : 2023.05.01
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Abstract

Let R be a commutative ring with identity and S a multiplicative subset of R. In this paper, we introduce and study the notions of u-S-pure u-S-exact sequences and uniformly S-absolutely pure modules which extend the classical notions of pure exact sequences and absolutely pure modules. And then we characterize uniformly S-von Neumann regular rings and uniformly S-Noetherian rings using uniformly S-absolutely pure modules.

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References

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