| 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 |