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arXiv · 1801.08370

On the abundance of silting modules

Lidia Angeleri Hügel
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Abstract

Silting modules are abundant. Indeed, they parametrise the definable torsion classes over a noetherian ring, and the hereditary torsion pairs of finite type over a commutative ring. Also the universal localisations of a hereditary ring, or of a finite dimensional algebra of finite representation type, can be parametrised by silting modules. In these notes, we give a brief introduction to the fairly recent concepts of silting and cosilting module, and we explain the classification results mentioned above.

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Lidia Angeleri Hügel. 2018-01-25. On the abundance of silting modules. https://arxiv.org/abs/1801.08370

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