Classification of split torsion torsionfree triples in module categories

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dc.creatorNicolas, Pedro
dc.creatorSaorin, Manuel
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:52Z
dc.date.available2026-07-07T06:50:52Z
dc.descriptionA TTF-triple $(\mathcal{C},\mathcal{T},\mathcal{F})$ in an abelian category is called 'one-sided split' in case either $(\mathcal{C},\mathcal{T})$ or $(\mathcal{T},\mathcal{F})$ is a split torsion theory. In this paper we classify one-sided split TTF-triples in module categories, thus completing Jans' classification of two-sided split TTF-triples and answering a question that has remained open for almost forty years.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0511159
dc.identifierhttp://arxiv.org/abs/math/0511159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104804
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16D90; 18E40
dc.titleClassification of split torsion torsionfree triples in module categories
dc.typetext

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