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arXiv · 2008.09256

K-theory of n-coherent rings

Eugenia Ellis·Rafael Parra
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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 $i\geq 0$ and obtain an expression of $\operatorname{Nil}_{i}(R)$.

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Eugenia Ellis, Rafael Parra. 2020-08-21. K-theory of n-coherent rings. https://arxiv.org/abs/2008.09256

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