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http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/11473| Title: | A Note on FMS Modules and FCP Extensions |
| Authors: | Kumar, Rahul |
| Keywords: | Mathematics FCP extension Idealization Artinian ring |
| Issue Date: | Dec-2022 |
| Publisher: | Springer |
| Abstract: | Let R be a commutative ring with unity and S be a (unital) subring of R such that R is integral over S and S⊆R has FCP. Let M be an R-module. For any submodule N of M, it is shown that R(+)N⊆R(+)M has FCP if and only if S(+)N⊆S(+)M has FCP. We also discuss FMS modules. |
| URI: | https://link.springer.com/chapter/10.1007/978-981-19-3898-6_10 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11473 |
| Appears in Collections: | Department of Mathematics |
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