S-FP-Projective Modules and Dimensions

Refat Abdelmawla Khaled Assaad, Xlaolei Zhang, Hwankoo Kim and Marco Fontana

Journal of Mathematics, 2023, vol. 2023, 1-10

Abstract: Let R be a ring and let S be a multiplicative subset of R. An R-module M is said to be a u-S-absolutely pure module if ExtR1N,M is u-S-torsion for any finitely presented R-module N. This paper introduces and studies the notion of S-FP-projective modules, which extends the classical notion of FP-projective modules. An R-module M is called an S-FP-projective module if ExtR1M,N=0 for any u-S-absolutely pure R-module N. We also introduce the S-FP-projective dimension of a module and the global S-FP-projective dimension of a ring. Then, the relationship between the S-FP-projective dimension and other homological dimensions is discussed.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7151101

DOI: 10.1155/2023/7151101

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