关于Grothendieck定理的一个推广
On a generalization of Grothendieck's theorem
摘要：
对A. Grothendieck证明了对于交换环的任意忠实平坦扩张，相应的相对Picard群与值在单位函子中的Amitsur 1-上同调群同构.这意味着一些已知的结果，有关推广到非交换环的Grothendieck定理。
英文摘要：
A wide generalization of the classical theorem of A. Grothendieck asserting that for any faithfully flat extension of commutative rings, the corresponding relative Picard group and the Amitsur 1-cohomology group with values in the units-functor are isomorphic, is obtained. This implies some known results that are concerned with extending to non-commutative rings of Grothendieck's theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
