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<p>The main purpose of this article is to introduce two new classes of modules, the first one is the <i>y</i>-duo modules, which are bigger than the class of CL-duo modules, the second one is the concept of strongly CLS module; this new class of modules lies between the strongly CCLS modules and <i>y</i>-duo modules. Several properties of these concepts are introduced in this paper. Furthermore, we investigate several characterizations and many relationships between certain features of the modules.</p>

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Module classes determined by the behavior of y-closed submodules

  • 期刊论文

  • 发表日期：

    2026年1月13日

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  • Enas Mustafa Kamil,
  • Zainab Abed Atiya

摘要

The main purpose of this article is to introduce two new classes of modules, the first one is the y-duo modules, which are bigger than the class of CL-duo modules, the second one is the concept of strongly CLS module; this new class of modules lies between the strongly CCLS modules and y-duo modules. Several properties of these concepts are introduced in this paper. Furthermore, we investigate several characterizations and many relationships between certain features of the modules.