대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제41권3호
  • /
  • Pages.473-482
  • /
  • 2004
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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FACTORIZATION AND DIVISIBILITY IN GENERALIZED REES RINGS

  • Kim, Hwan-Koo (Information Security Major, Division of Computer Engineering, Hoseo University) ;
  • Kwon, Tae-In (Department of Applied Mathematics, Changwon National University) ;
  • Park, Young-Soo (Department of Mathematics, Kyungpook National University)
  • 발행 : 2004.08.01
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초록

Let D be an integral domain, I a proper ideal of D, and R =D[It, $t^{-1}$] a generalized Rees ring, where t is an indeterminate. For suitable conditions, we show that R satisfies the ACCP (resp., is a BFD, an FFD, a (pre-) Schreier domain, a G-GCD domain, a PVMD, a v-domain) if and only if D satisfies the ACCP (resp., is a BFD, an FFD, a (pre-) Schreier domain, a G-GCD domain, a PVMD, a v-domain).

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참고문헌

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