Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DIVISIBLE ENVELOPES OF THE FORM T ↪ S-1T

  • KIM HAE-SIK (Department of Mathematics Kyungpook National University) ;
  • SONG YEONG-MOO (Department of Mathematics Education Sunchon National University)
  • Published : 2006.01.01
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Abstract

In this article we show that if R is a Noetherian ring with the global dimension at most one, then every S-torsion free R-module T has a divisible envelope of the form $T{\hookrightarrow}S^{-1}T$

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References

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