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arXiv · 2412.08153

A new notion of semiprime submodules

Masood Aryapoor
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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.

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Masood Aryapoor. 2024-12-11. A new notion of semiprime submodules. https://doi.org/10.1142/s0219498826502026

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