Doi-Koppinen modules for quantum groupoids

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dc.creatorBrzezinski, Tomasz
dc.creatorCaenepeel, Stefaan
dc.creatorMilitaru, Gigel
dc.date2001-01-08
dc.date2001-08-13
dc.date.accessioned2026-07-07T04:39:34Z
dc.date.available2026-07-07T04:39:34Z
dc.descriptionA definition of a Doi-Koppinen datum over a noncommutative algebra is proposed. The idea is to replace a bialgebra in a standard Doi-Koppinen datum with a bialgebroid. The corresponding category of Doi-Koppinen modules over a noncommutative algebra is introduced. A weak Doi-Koppinen datum and module of [G. Bohm. Comm. Algebra, 28:4687--4698, 2000] are shown to be examples of a Doi-Koppinen datum and module over an algebra. A coring associated to a Doi-Koppinen datum over an algebra is constructed and various properties of induction and forgetful functors for Doi-Koppinen modules over an algebra are deduced from the properies of corresponding functors in the category of comodules of a coring.
dc.description14 pages, LaTeX; final version to appear in J. Pure Appl. Algebra
dc.identifierhttps://arxiv.org/abs/math/0101064
dc.identifierhttp://arxiv.org/abs/math/0101064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60716
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleDoi-Koppinen modules for quantum groupoids
dc.typetext

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