Jordan Hölder theorems for derived module categories of piecewise hereditary algebras

Details Jordan Hölder theorems for derived module categories of piecewise hereditary algebras Jordan Hölder theorems for derived module categories of piecewise hereditary algebras

2011-04-18

arxiv.org/abs/1104.3418v1

Mathematics

Representation Theory

21 pages

Scientific paper

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.

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