| dc.contributor.author |
Kumar, Rahul |
|
| dc.date.accessioned |
2025-02-10T10:47:39Z |
|
| dc.date.available |
2025-02-10T10:47:39Z |
|
| dc.date.issued |
2024-06 |
|
| dc.identifier.uri |
https://link.springer.com/article/10.21136/CMJ.2024.0122-23 |
|
| dc.identifier.uri |
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17438 |
|
| dc.description.abstract |
The notion of maximal non-pseudovaluation subring of an integral domain is introduced and studied. Let R ⊂ S be an extension of domains. Then R is called a maximal non-pseudovaluation subring of S if R is not a pseudovaluation subring of S, and for any ring T such that R ⊂ T ⊂ S, T is a pseudovaluation subring of S. We show that if S is not local, then there no such T exists between R and S. We also characterize maximal non-pseudovaluation subrings of a local integral domain. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.publisher |
Springer |
en_US |
| dc.subject |
Mathematics |
en_US |
| dc.subject |
Maximal non-pseudovaluation domain |
en_US |
| dc.subject |
Pseudovaluation subring |
en_US |
| dc.title |
Maximal non-pseudovaluation subrings of an integral domain |
en_US |
| dc.type |
Article |
en_US |