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- W239234295 abstract "is the Jacobson radical of Am. (Actually he stated this condition as follows: Aw-A and mA-J(A^) where A denotes the integral closure of A in the total ring of quotients.) On the other hand, a result of Lipman 【8】 shows that the condition (ii) is equivalent to ntAlll-m. Hence A is seminormal if and only if m-J(Am). In this note we will prove this theorem using only yn, n+1)-closed characterization of seminormality (§3). However we must use some fundamental facts about the concept of a blowing up ring Am of Lipman [8], especially the principality of mAm, which is based on the existence of a transversal element. In connection with these, in §2, we will reconsider the" @default.
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- W239234295 date "1983-11-01" @default.
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- W239234295 title "Remarks on Blowing Up Rings and Seminormality" @default.
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