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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | Department of Mathematics |
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