Approximation of subcategories by abelian subcategories

Andrew Salch

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arXiv · 1006.0048

Approximation of subcategories by abelian subcategories

Andrew Salch

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Abstract

For a commutative ring $R$ and a weakly proregular ideal $I$, we prove a simple universal property of the category of $L_0$-complete $R$-modules: it is the smallest replete exact abelian subcategory of the category of $R$-modules which contains all the $I$-adically complete $R$-modules.

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Andrew Salch. 2010-06-01. Approximation of subcategories by abelian subcategories. https://arxiv.org/abs/1006.0048

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