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High degree anti-integral extensions of Noetherian domains

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Publication:1261618
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zbMath0782.13013MaRDI QIDQ1261618

Ken-ichi Yoshida, Junro Sato, Susumu Oda

Publication date: 12 October 1993

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

flatnessNoetherian integral domainanti-integral extensionsuper- primitive elements


Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral dependence in commutative rings; going up, going down (13B21) Commutative ring extensions and related topics (13B99)


Related Items (4)

The set of prime divisors of generalized denominator ideals ⋮ Extensions \(R[\alpha-a\cap R[(\alpha-a)^{-1}]\) with an anti-integral element \(\alpha\) are unchanged for any \(a\in R\)] ⋮ Accurate elements and super-primitive elements over rings. ⋮ On the integral closedness of the ring \(R [\alpha \cap R [1/ \alpha]\)]







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