Mittag-Leffler conditions on modules

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We 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.
45 pages

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Rings and Algebras, K-Theory and Homology, 16D70;16L30;18E15

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http://salesiana.dossiersoluciones.com/handle/123456789/128049

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0704.3690
 http://arxiv.org/abs/0704.3690

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arXiv