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<p>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 <i>absolute direct injective modules</i> (briefly, <i>AC2 modules</i>). This new class of modules contains the classes of automorphism-invariant modules and continuous modules.</p>

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On absolute direct injective modules

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Fatih Karabacak,
  • Nguyen Quoc Tien,
  • Özgür Taşdemir

摘要

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.