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For questions about torsion theories in abelian categories and related concepts.

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When some idempotent ideals belong to the Gabriel filter of ideals for a hereditary torsion ...

Let $\mathscr{I}_\sigma$ be the Gabriel filter of ideals for a hereditary torsion theory $\sigma$ over a commutative ring $R$. I am looking for equivalent conditions on either $\sigma$ or $R$ under w …
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