Article dans une revue
Titre :
An anti-isomorphisme between Brauer-Clifford-Long groups BD(S,H) and BD(S^{op}, H^*)
Auteurs :
Christophe Lopez Nango
Résumé :
For a commutative ring R and a commutative cocommutative Hopf algebra H finitely generated projective as an R-module, Tilborghs in (Math J Okayama Univ 32:43–52, 1990), established an anti-isomorphism of groups between the Brauer group BD(R, H) of H-dimodule and the Brauer BD(R, H^*)
of H^*
-dimodule algebras, where H^*
is the linear dual of H. In this paper, we generalize this result by constructing an anti-isomorphism of groups between BD(S, H), the Brauer group of dyslectic (S, H)-dimodule algebras and
, the Brauer group of dyslectic
-dimodule algebras, where S is an H-commutative H-dimodule algebra and S^{op}
is the opposite algebra of S.
Journal :
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry volume
Volume :
64
Pages ou Numéro article :
445-458
Année :
2022
Date de publication :
12 April 2022
Lien de la publication :
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