A note on pairs of rings with the same prime ideals
| dc.contributor.author | Kumar, Rahul | |
| dc.date.accessioned | 2023-08-16T10:17:51Z | |
| dc.date.available | 2023-08-16T10:17:51Z | |
| dc.date.issued | 2022-03 | |
| dc.description.abstract | We study the ring extensions R⊆T having the same set of prime ideals provided Nil(R) is a divided prime ideal. Some conditions are given under which no such T exists properly containing R. Using idealization theory, the examples are also discussed to strengthen the results. | en_US |
| dc.identifier.uri | https://projecteuclid.org/journals/hiroshima-mathematical-journal/volume-52/issue-1/A-note-on-pairs-of-rings-with-the-same-prime/10.32917/h2021037.full | |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11453 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hiroshima University | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | ϕ-chained ring | en_US |
| dc.subject | ϕ-PVR | en_US |
| dc.subject | Overring | en_US |
| dc.title | A note on pairs of rings with the same prime ideals | en_US |
| dc.type | Article | en_US |
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