A new notion of semiprime submodules
We introduce a new concept of a semiprime submodule. We show that a submodule of a finitely generated module over a commutative ring is semiprime if and only if it is radical, that is, an intersection of prime submodules. Using our notion, we also provide a new characterization of radical submodules of finitely generated modules over commutative rings.
Authors
- Masood Aryapoor (ORCID: https://orcid.org/0000-0002-4471-1483)
Institutions
- Eskilstuna Municipality (SE)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-03-11
- DOI
- https://doi.org/10.1142/s0219498826502026
- Citations
- 1
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 5.38