Comment on “Two notes on imbedded prime divisors

dc.contributor.authorKumar, Rahul
dc.date.accessioned2023-08-17T09:03:40Z
dc.date.available2023-08-17T09:03:40Z
dc.date.issued2020
dc.description.abstractThe following result was proved in [5,Remark 2.2]. Theorem 0.1. If R T are Noetherian rings such that there does not exist any integrally dependent adjacent Noetherian rings between them, then for each ¯c/¯b 2 T/Z (where Z = Rad(T) = Rad(R) and ¯b, ¯c regular in R/Z), we have either ¯c/¯b 2 R/Z or ¯ b/¯c 2 R/Z, and so (R/Z)[¯c/¯b] is a localization of R/Z.en_US
dc.identifier.urihttps://arxiv.org/pdf/2005.07214
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11471
dc.language.isoenen_US
dc.publisherARXIVen_US
dc.subjectMathematicsen_US
dc.subjectNoetherian ringsen_US
dc.subjectNormal pairen_US
dc.subjectAdjacent ringsen_US
dc.titleComment on “Two notes on imbedded prime divisorsen_US
dc.typeArticleen_US

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