On the abundance of silting modules
Representation Theory
2018-01-26 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1801.08370,
title = {On the abundance of silting modules},
author = {Lidia Angeleri Hügel},
journal= {arXiv preprint arXiv:1801.08370},
year = {2018}
}