【摘 要】
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Let D be an integral domain with quotient field K,(D) be the integral closure of D in K,and D[w]be the w-integral closure of D in K;so (D) (C) D[w],and equality
【机 构】
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Department of Mathematics Education, Incheon National University Incheon 22012, Korea“,”Division of
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Let D be an integral domain with quotient field K,(D) be the integral closure of D in K,and D[w]be the w-integral closure of D in K;so (D) (C) D[w],and equality holds when D is Noetherian or dim(D) =1.The Mori-Nagata theorem states that if D is Noetherian,then (D) is a Krull domain;it has also been investigated when (D) is a Dedekind domain.We study integral domains D such that D[w]is a Krull domain.We also provide an example of an integral domain D such that D (C)(D) (C) D[w],t-dim(D) =1,(D) is a Prüfer v-multiplication domain with t-dim((D)) =2,and D[w]is a UFD.
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