Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A NOTE ON TYPES OF NOETHERIAN LOCAL RINGS

  • Lee, Kisuk (Department of Mathematics, Sookmyung Women′s University)
  • Published : 2002.11.01
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Abstract

In this note we investigate some results which concern the types of local rings. In particular it is shown that if the type of a quasi-unmixed local ring A is less than or equal to depth A ＋ 1, and $\hat{A}_p$ is Cohen-Macaulay for every prime $p\neq\hat{m}$, then A is Cohen-Macaulay. (This implies the previously known result: if A satisfies $(S_{n-1})}$, where n is the type of a .ins A, then A is Cohen-Macaulay.)

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References

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Cited by

  1. SOME REMARKS ON TYPES OF NOETHERIAN LOCAL RINGS vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.625