Cofrobenius Coalgebra

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dc.creatorIovanov, Miodrag-Cristian
dc.date2006-04-11
dc.date.accessioned2026-07-07T07:10:46Z
dc.date.available2026-07-07T07:10:46Z
dc.descriptionWe investigate left and right co-Frobenius coalgebras and give equivalent characterizations which prove statements dual to the characterizations of Frobenius algebras. We prove that a coalgebra is left and right co-Frobenius if and only if C is isomorphic to Rat(C*) as right C*-modules and also that this is eqhivalent to the fact that the functors Hom_K(-,K) and Hom_{C*}(-,C*) from the category of right C-comodules to the category of all left C*-modules are isomorphic. This allows a definition of a left-right symmetric concept of co-Frobenius coalgebras that is perfectly dual to the one of Frobenius algebras and coincides to the existing notion left and right co-Frobenius coalgebra.
dc.description9 pages, to appear in J. Algebra
dc.identifierhttps://arxiv.org/abs/math/0604251
dc.identifierhttp://arxiv.org/abs/math/0604251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111525
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16W30
dc.titleCofrobenius Coalgebra
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