Tilting via torsion pairs and almost hereditary noetherian rings
Rings and Algebras
2011-05-23 v2 Representation Theory
Abstract
We generalize the tilting process by Happel, Reiten and Smal{\o} to the setting of finitely presented modules over right coherent rings. Moreover, we extend the characterization of quasi-tilted artin algebras as the almost hereditary ones to all right noetherian rings.
Keywords
Cite
@article{arxiv.0903.5454,
title = {Tilting via torsion pairs and almost hereditary noetherian rings},
author = {Jan Stovicek and Otto Kerner and Jan Trlifaj},
journal= {arXiv preprint arXiv:0903.5454},
year = {2011}
}
Comments
20 pages, v2: major revision, the title was changed, the paper was shortened, some results which had been found in the literature were removed