We generalize the results of Skorobogatov and Zarhin considering the commutativity of Brauer groups (and Brauer–Manin sets) with taking product of two varieties, by relaxing the condition that varieties are projective.

中文翻译：

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关于Brauer组和Brauer-Manin产品集的说明

考虑到Brauer组（和Brauer-Manin集）与两个品种乘积的可交换性，我们通过放宽品种具有投影性的条件，对Skorobogatov和Zarhin的结果进行概括。