Korean J. Math. Vol. 33 No. 1 (2025) pp.21-35
DOI: https://doi.org/10.11568/kjm.2025.33.1.21-35

A characterization of S1-projective modules

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Published: Mar 30, 2025
Keywords:
S-torsion exact sequence, S-torsion commutative diagram, S1-projective module, S2-projective module
Mathematics Subject Classification:
13C10, 13C12, 13D30

Main Article Content

Hwankoo Kim
Division of Computer Engineering, Hoseo University, Republic of Korea
Najib Mahdou
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco
El Houssaine Oubouhou
Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S.M. Ben Abdellah Fez, Morocco

Abstract

Recently, Zhao, Pu, Chen, and Xiao introduced and investigated novel concepts regarding S-torsion exact sequences, S-torsion commutative diagrams, and Si-projective modules (for i=1,2) in the context of a commutative ring R and a multiplicative subset S of R. Their research included various results, such as proving that an R-module is S1-projective if it is S-torsion isomorphic to a projective module. In this paper, we further examine properties of S-torsion exact sequences and S-torsion commutative diagrams, and we establish the equivalence between an R-module being S1-projective and its S-torsion isomorphism to a projective module.



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