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K-theory of Prüfer domains

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Abstract

In this article, we show that the homotopy invariance of K-theory holds for rings of weak global dimension at most one. Prüfer domains are examples of such rings. We also show that the negative K-groups of a Prüfer domain vanish.

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Acknowledgements

The authors would like to thank the referee for his/her valuable comments and suggestions which have improved the exposition significantly.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Science Education and Research Bhopal, Bhopal Bypass Road, Bhauri, Bhopal, Madhya Pradesh , 462066, India

    Sourayan Banerjee & Vivek Sadhu

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  1. Sourayan Banerjee
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  2. Vivek Sadhu
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The second author was supported by SERB-DST MATRICS grant MTR/2018/000283.

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Banerjee, S., Sadhu, V. K-theory of Prüfer domains. Arch. Math. 118, 465–470 (2022). https://doi.org/10.1007/s00013-022-01721-5

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  • DOI: https://doi.org/10.1007/s00013-022-01721-5

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