Mittag-Leffler conditions on modules

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dc.creatorAngeleri-Hugel, Lidia
dc.creatorHerbera, Dolors
dc.date2007-04-27
dc.date.accessioned2026-07-07T07:58:33Z
dc.date.available2026-07-07T07:58:33Z
dc.descriptionWe study Mittag-Leffler conditions on modules providing relative versions of classical results by Raynaud and Gruson. We then apply our investigations to several contexts. First of all, we give a new argument for solving the Baer splitting problem. Moreover, we show that modules arising in cotorsion pairs satisfy certain Mittag-Leffler conditions. In particular, this implies that tilting modules satisfy a useful finiteness condition over their endomorphism ring. In the final section, we focus on a special tilting cotorsion pair related to the pure-semisimplicity conjecture.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/0704.3690
dc.identifierhttp://arxiv.org/abs/0704.3690
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128049
dc.subjectRings and Algebras
dc.subjectK-Theory and Homology
dc.subject16D70;16L30;18E15
dc.titleMittag-Leffler conditions on modules
dc.typetext

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