Direct projective modules and their generalizations
This paper explores various properties of direct projective modules, focusing on their connections to Rickart, Dual-Rickart, SSP, SIP, Endoregular and Hopfian modules. We also characterize direct projective modules with the [Formula: see text] property. Furthermore, we introduce semi-simple direct projective modules, which generalize direct projective modules, and examine their properties.
Authors
- Ashok Ji Gupta (ORCID: https://orcid.org/0000-0003-1462-0211)
- Sonal Gupta (ORCID: https://orcid.org/0009-0006-5402-9388)
Institutions
- Indian Institute of Technology BHU (IN)
- Banaras Hindu University (IN)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1142/s0219498826502774
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00