Korean Journal of Mathematics

  • 제18권1호
  • /
  • Pages.37-43
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  • 2010
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

LOCALLY DIVIDED DOMAINS OF THE FORM $D[X]_N_v$

  • 투고 : 2009.12.22
  • 심사 : 2010.03.05
  • 발행 : 2010.03.01
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초록

Let D be an integral domain, X be an indeterminate over D, and $N_v=\{f{\in}D[X]{\mid}(A_f)_v=D\}$. In this paper, we introduce the concept of t-locally divided domains, and we then prove that $D[X]_{N_v}$ is a locally divided domain if and only if D is a t-locally divided UMT-domain, if and only if D[X] is a t-locally divided domain.

키워드

과제정보

연구 과제 주관 기관 : University of Incheon

참고문헌

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