On weakly regular modules over commutative rings
In this paper, we introduce the class of weakly (von Neumann) regular modules and study its algebraic properties. We present some characterization of this class of modules. Finally, we show that a ring [Formula: see text] is perfect if and only if every [Formula: see text]-module is weakly regular.
Authors
- Dawood Hassanzadeh-Lelekaami (ORCID: https://orcid.org/0000-0003-2843-3951)
- Hajar Roshan-Shekalgourabi
Institutions
- Arak University of Technology (IR)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-08-25
- DOI
- https://doi.org/10.1142/s0219498827500253
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00