Jordan H\"older theorems for derived module categories of piecewise hereditary algebras
Representation Theory
2011-04-19 v1 Rings and Algebras
Abstract
A Jordan H\"older theorem is established for derived module categories of piecewise hereditary algebras. The resulting composition series of derived categories are shown to be independent of the choice of bounded or unbounded derived module categories, and also of the choice of finitely generated or arbitrary modules.
Keywords
Cite
@article{arxiv.1104.3418,
title = {Jordan H\"older theorems for derived module categories of piecewise hereditary algebras},
author = {Lidia Angeleri Hügel and Steffen Koenig and Qunhua Liu},
journal= {arXiv preprint arXiv:1104.3418},
year = {2011}
}
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21 pages