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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