On a generalization of Grothendieck's theorem

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dc.creatorMesablishvili, Bachuki
dc.date2006-05-17
dc.date.accessioned2026-07-07T07:14:20Z
dc.date.available2026-07-07T07:14:20Z
dc.descriptionA 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.
dc.identifierhttps://arxiv.org/abs/math/0605470
dc.identifierhttp://arxiv.org/abs/math/0605470
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112835
dc.subjectRings and Algebras
dc.subject16W30; 18C15
dc.titleOn a generalization of Grothendieck's theorem
dc.typetext

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