대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제21권1호
  • /
  • Pages.11-16
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  • 2006
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2006.01.01
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초록

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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참고문헌

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  3. E. Enochs, H. Kim, and S. Rim, Divisible envelopes over Gorenstein rings of Krull dimension at most one, Comm. in Algebra 29 (2001), no. 8, 3275-3283 https://doi.org/10.1081/AGB-100105021
  4. J. Rotman, An introduction to Homological Algebra, Academic Press, 1979
  5. J. Xu, Flat covers of modules, Lecture Notes in Math. 1634, Springer-Verlag, 1996