On a generalization of Grothendieck's theorem
Rings and Algebras
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0605470,
title = {On a generalization of Grothendieck's theorem},
author = {Bachuki Mesablishvili},
journal= {arXiv preprint arXiv:math/0605470},
year = {2007}
}