MODULES WITH FINITELY MANY SUBMODULES
We characterize ring extensions R ⊂ S having FCP (FIP), where S is the idealization of some R-module. As a by-product we exhibit characterizations of the modules that have finitely many submodules. Our tools are minimal ring morphisms, while Artinian conditions on rings are ubiquitous.
Keywords:
Idealization, ∆0-extension, SPIR, minimal ring extension, rami- fied, subintegral extension, FIP FCP extension, Artinian ring,
- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI