Duality and Rational Modules in Hopf Algebras over Commutative Rings

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dc.creatorAbuhlail, J. Y.
dc.creatorGomez-Torrecillas, J.
dc.creatorLobillo, F. J.
dc.date2000-11-24
dc.date.accessioned2026-07-07T04:38:49Z
dc.date.available2026-07-07T04:38:49Z
dc.descriptionLet $A$ be an algebra over a commutative ring $R$. If $R$ is noetherian and $A^\circ$ is pure in $R^A$, then the categories of rational left $A$-modules and right $A^\circ$-comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient conditions to get the purity of $A^\circ$ in $R^A$.
dc.descriptionAMSLaTeX with xypic
dc.identifierhttps://arxiv.org/abs/math/0011207
dc.identifierhttp://arxiv.org/abs/math/0011207
dc.identifierJ. Algebra 240, 165-184 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60430
dc.subjectRings and Algebras
dc.subject16W30, 16S40
dc.titleDuality and Rational Modules in Hopf Algebras over Commutative Rings
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