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http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/11453| Title: | A note on pairs of rings with the same prime ideals |
| Authors: | Kumar, Rahul |
| Keywords: | Mathematics ϕ-chained ring ϕ-PVR Overring |
| Issue Date: | Mar-2022 |
| Publisher: | Hiroshima University |
| 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. |
| 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 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11453 |
| Appears in Collections: | Department of Mathematics |
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