On the \(K\)-theory of \(\mathbb{Z}\)-categories

DOI10.1007/S40062-023-00333-2arXiv2207.04918MaRDI QIDQ6148308

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Publication date: 11 January 2024

Published in: (Search for Journal in Brave)

Abstract: We relate the notions of Noetherian, regular coherent and regular $n$-coherent category for $mathbbZ$-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative $K$-theory of $mathbbZ$-linear categories.

Full work available at URL: https://arxiv.org/abs/2207.04918

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