| 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 |
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