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<p>In this paper we present a new generalization of CS, ECS and CCLS- modules. If each “cec-closed submodule “in a module <i>M</i> is a “direct summand“, then <i>M</i> is referred to be CECS. It was demonstrated that every ECS and CCLS-module is generalized by the CECS property. We look at modules <i>M</i> that allow one to lift all homomorphism from a cec-closed submodule of <i>M</i> to <i>M</i>. Despite this, certain modules have some characteristics in common with CECS modules.</p>

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A generalization of ECS- modules via c-closed submodules

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Enas Mustafa Kamil,
  • Bijan Davvaz

摘要

In this paper we present a new generalization of CS, ECS and CCLS- modules. If each “cec-closed submodule “in a module M is a “direct summand“, then M is referred to be CECS. It was demonstrated that every ECS and CCLS-module is generalized by the CECS property. We look at modules M that allow one to lift all homomorphism from a cec-closed submodule of M to M. Despite this, certain modules have some characteristics in common with CECS modules.