Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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A Characterization of Nonnil-Projective Modules

  • Hwankoo Kim (Division of Computer Engineering, Hoseo University) ;
  • Najib Mahdou (Department of Mathematics, Faculty of Science and Technology of Fez, University S. M. Ben Abdellah Fez) ;
  • El Houssaine Oubouhou (Department of Mathematics, Faculty of Science and Technology of Fez, University S. M. Ben Abdellah Fez)
  • Received : 2023.09.13
  • Accepted : 2023.10.23
  • Published : 2024.03.31
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Abstract

Recently, Zhao, Wang, and Pu introduced and studied new concepts of nonnil-commutative diagrams and nonnil-projective modules. They proved that an R-module that is nonnil-isomorphic to a projective module is nonnil-projective, and they proposed the following problem: Is every nonnil-projective module nonnil-isomorphic to some projective module? In this paper, we delve into some new properties of nonnil-commutative diagrams and answer this problem in the affirmative.

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Acknowledgement

The authors would like to thank the reviewer for his/her careful reading and comments.

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