Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Locally Polynomial Rings over PVMD's

  • Kim, Hwankoo (Information Security Major, Division of Computer Science and Engineering, Hoseo University) ;
  • Kwon, Tae In (Department of Applied Mathematics, Changwon National University)
  • Received : 2004.01.12
  • Published : 2005.03.23
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Abstract

Let an integral domain R be locally polynomial over an integral domain D and let R be a content module over D. We show that if D is a PVMD, then $$Cl_t(R){\sim_=}Cl_t(D)$$. This generalizes the polynomial case. We also show that R is a PVMD if and only if D is a PVMD if and only if $R_{N_v}$ is a PVMD.

Keywords

Acknowledgement

Supported by : Hoseo University, Changwon National University

References

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