A bicategorical version of Masuoka's theorem. Applications to bimodules over functor categories and to firm bimodules

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dc.creatorGómez-Torrecillas, J.
dc.creatorMesablishvili, B.
dc.date2008-08-19
dc.date.accessioned2026-07-07T09:57:20Z
dc.date.available2026-07-07T09:57:20Z
dc.descriptionWe give a bicategorical version of the main result of A. Masuoka ({Corings and invertible bimodules,} {\em Tsukuba J. Math.} \textbf{13} (1989), 353--362) which proposes a non-commutative version of the fact that for a faithfully flat extension of commutative rings $R \subseteq S$, the relative Picard group $Pic(S/R)$ is isomorphic to the Amitsur 1--cohomology group $H^1(S/R,U)$ with coefficients in the units functor $U$.
dc.identifierhttps://arxiv.org/abs/0808.2553
dc.identifierhttp://arxiv.org/abs/0808.2553
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167304
dc.subjectRings and Algebras
dc.subjectCategory Theory
dc.subject16W30; 18D05
dc.titleA bicategorical version of Masuoka's theorem. Applications to bimodules over functor categories and to firm bimodules
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