On absolute direct injective modules
Indian Journal of Pure and Applied Mathematics, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s13226-026-00966-y
- Dergi Adı: Indian Journal of Pure and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: (C2)-(C3) properties, ADS module, Quasi-injective module, Semisimple ring, V-ring
- Anadolu Üniversitesi Adresli: Evet
Özet
The paper is focused on a question: What can be said of a module which is ADS and has the C2 property? raised by Alahmadi, Jain and Leroy: ADS modules. Modules that are both ADS and C2 are called absolute direct injective modules (briefly, AC2 modules). This new class of modules contains the classes of automorphism-invariant modules and continuous modules.