On subinjectivity domains of finitely generated modules
COMMUNICATIONS IN ALGEBRA, vol.1, pp.1-13, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 1
- Publication Date: 2025
- Doi Number: 10.1080/00927872.2025.2507144
- Journal Name: COMMUNICATIONS IN ALGEBRA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.1-13
- Dokuz Eylül University Affiliated: Yes
Abstract
A module M is called FG-injective if every homomorphism from M to a finitely generated module K factors through an injective module, generalizing the injective modules properly. If the subinjectivity domain of M consists of exactly the FG-injective modules, then M is said to be fg-indigent. Properties of FG-injective modules and of fg-indigent modules are studied, and the concept of si-portfolio is considered for finitely generated modules. The collection of all subinjectivity domains of all finitely generated modules is also considered, and the cases where this collection forms a chain or has a single or two elements are investigated.