Local theory of almost split sequences for comodules

Simple item page
dc.creatorChin, William
dc.creatorKleiner, Mark
dc.creatorQuinn, Declan
dc.date2005-04-05
dc.date.accessioned2026-07-07T05:18:48Z
dc.date.available2026-07-07T05:18:48Z
dc.descriptionWe show that almost split sequences in the category of comodules over a coalgebra with finite-dimensional right-hand term are direct limits of almost split sequences over finite dimensional subcoalgebras. In previous work we showed that such almost split sequences exist if the right hand term has a quasifinitely copresented linear dual. Conversely, taking limits of almost split sequences over finte-dimensional comodule categories, we then show that, for countable-dimensional coalgebras, certain exact sequences exist which satisfy a condition weaker than being almost split, which we call ``finitely almost split''. Under additional assumptions, these sequences are shown to be almost split in the appropriate category.
dc.identifierhttps://arxiv.org/abs/math/0504081
dc.identifierhttp://arxiv.org/abs/math/0504081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74796
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16G70, 16W30
dc.titleLocal theory of almost split sequences for comodules
dc.typetext

Files

Collections

arXiv