December 4th, 15:00, Seminar Room C3b/158
Sergio Estrada (Universida de Murcia): Periodic modules and acyclic complexes

Abstract: We study the behavior of modules M that fit into a short exact sequence 0→M→C→M→0, where C belongs to a class of modules $\mathcal C$, the so-called $\mathcal C$-periodic modules. We give a rather general framework to improve and generalize some well-known results of Benson and Goodearl and Simson. We will combine techniques of hereditary complete cotorsion pairs and presentation of direct limits, to conclude, among other applications, that if M is any module and C is cotorsion, then M will be also cotorsion. This will lead to some meaningful consequences in the category Ch(R) of unbounded chain complexes.

The talk is based on a joint work with Silvana Bazzoni and Manuel Cortes Izurdiaga.