Comment on “Two notes on imbedded prime divisors

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DC Field	Value	Language
dc.contributor.author	Kumar, Rahul	-
dc.date.accessioned	2023-08-17T09:03:40Z	-
dc.date.available	2023-08-17T09:03:40Z	-
dc.date.issued	2020	-
dc.identifier.uri	https://arxiv.org/pdf/2005.07214	-
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11471	-
dc.description.abstract	The 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.language.iso	en	en_US
dc.publisher	ARXIV	en_US
dc.subject	Mathematics	en_US
dc.subject	Noetherian rings	en_US
dc.subject	Normal pair	en_US
dc.subject	Adjacent rings	en_US
dc.title	Comment on “Two notes on imbedded prime divisors	en_US
dc.type	Article	en_US
Appears in Collections:	Department of Mathematics

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