Frobenius Functors of the second kind

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dc.creatorCaenepeel, S.
dc.creatorDe Groot, E.
dc.creatorMilitaru, G.
dc.date2001-06-13
dc.date2005-03-29
dc.date.accessioned2026-07-07T04:42:09Z
dc.date.available2026-07-07T04:42:09Z
dc.descriptionA pair of adjoint functors $(F,G)$ is called a Frobenius pair of the second type if $G$ is a left adjoint of $βFα$ for some category equivalences $α$ and $β$. Frobenius ring extensions of the second kind provide examples of Frobenius pairs of the second kind. We study Frobenius pairs of the second kind between categories of modules, comodules, and comodules over a coring. We also show that a finitely generated projective Hopf algebra over a commutative ring is always a Frobenius extension of the second kind, and prove that the integral spaces of the Hopf algebra and its dual are isomorphic.
dc.description23 pages; we have a corrected a mistake in Theorem 3.4 and Corollary 3.5
dc.identifierhttps://arxiv.org/abs/math/0106109
dc.identifierhttp://arxiv.org/abs/math/0106109
dc.identifierComm. Algebra 30 (2002), 5359--5391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61652
dc.subjectRings and Algebras
dc.subject16W50; 16D90
dc.titleFrobenius Functors of the second kind
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