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

  • Publication Type: Article / Article
  • Publication Date: 2026
  • Doi Number: 10.1007/s13226-026-00966-y
  • Journal Name: Indian Journal of Pure and Applied Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
  • Keywords: (C2)-(C3) properties, ADS module, Quasi-injective module, Semisimple ring, V-ring
  • Anadolu University Affiliated: Yes

Abstract

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.