On absolute direct injective modules

KARABACAK F., Tien N. Q., TAŞDEMİR Ö.

Indian Journal of Pure and Applied Mathematics, 2026 (SCI-Expanded, Scopus) identifier identifier identifier

  • 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.