K-theory of n-coherent rings

DOI10.1142/S021949882350007XzbMATH Open1503.19001arXiv2008.09256OpenAlexW3199760528MaRDI QIDQ5046111

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Publication date: 27 October 2022

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Abstract: Let $R$ be a strong $n$-coherent ring such that each finitely $n$-presented $R$-module has finite projective dimension. We consider $mathcal{FP}_n(R)$ the full subcategory of $R$-Mod of finitely $n$-presented modules. We prove that $mathcal{FP}_n(R)$ is an exact category, $K_i(R)=K_i(mathcal{FP}_n(R))$ for every $igeq0$ and obtain an expression of $operatorname{Nil}_i(R)$.

Full work available at URL: https://arxiv.org/abs/2008.09256

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