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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kumar, Rahul | - |
| dc.date.accessioned | 2023-08-16T10:12:12Z | - |
| dc.date.available | 2023-08-16T10:12:12Z | - |
| dc.date.issued | 2019-06 | - |
| dc.identifier.uri | https://link.springer.com/article/10.1007/s00025-019-1043-6 | - |
| dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11451 | - |
| dc.description.abstract | Let R be a commutative ring with unity. The notion of maximal non chained subrings of a ring and maximal non ϕ-chained subrings of a ring is introduced which generalizes the concept of maximal non valuation subrings of a domain. A ring R is said to be a maximal non chained (resp., ϕ-chained) subring of S if R is a proper subring of S, R is not a chained (resp., ϕ-chained) ring and every subring of S which contains R properly is a chained (resp., ϕ-chained) ring. We study the properties and characterizations of a maximal non chained (ϕ-chained) subring of a ring. Examples of a maximal non ϕ-chained subring which is not a maximal non chained subring and a maximal non chained subring which is not a maximal non ϕ-chained subring are also given to strengthen the concept. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Maximal Non Chained Rings | en_US |
| dc.title | Maximal Non ϕ -Chained Rings and Maximal Non Chained Rings | en_US |
| dc.type | Article | en_US |
| Appears in Collections: | Department of Mathematics | |
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