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Abstract <p>In this paper, we study modules that are natural extensions of the class of quasi-projective modules. In particular, the paper studies small quasi-projective modules and classes of modules related to them. It is shown that over right perfect rings, the class of small quasi-projective right modules coincides with several classes of right modules close to projective modules studied in the article. Small quasi-projective abelian groups and related classes of abelian groups are also studied.</p>

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Modules Close to the Quasi-projective

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • A. N. Abyzov,
  • Bui Tien Dat

摘要

Abstract

In this paper, we study modules that are natural extensions of the class of quasi-projective modules. In particular, the paper studies small quasi-projective modules and classes of modules related to them. It is shown that over right perfect rings, the class of small quasi-projective right modules coincides with several classes of right modules close to projective modules studied in the article. Small quasi-projective abelian groups and related classes of abelian groups are also studied.