A new notion of semiprime submodules
Algebraic Geometry
2025-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2412.08153,
title = {A new notion of semiprime submodules},
author = {Masood Aryapoor},
journal= {arXiv preprint arXiv:2412.08153},
year = {2025}
}