Abstract
Mayer–Vietoris sequences have been proved in the past to be a very adequate tool for the calculation of Brauer groups, as they frequently allow to reduce the calculation of the Brauer group Br(R) of a ring R to that of “easier” rings. In this note we present an analogous technique for classical and so-called involutive Brauer groups of Krull domains. Our results will strongly depend on techniques previously developed by Knus and Ojanguren, and Orzech.
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Smet, A., Verschoren, A. Mayer–Vietoris Sequences for Krull Domains. Applied Categorical Structures 11, 359–376 (2003). https://doi.org/10.1023/A:1024406332616
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DOI: https://doi.org/10.1023/A:1024406332616