Homological properties of piecewise hereditary algebras

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Date
2009-03-05MFO Scientific Program
Research in Pairs 2009Series
Oberwolfach Preprints;2009,11Author
Happel, Dieter
Zacharia, Dan
Metadata
Show full item recordOWP-2009-11
Abstract
Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of the strong global dimension, show the behavior of the strong global under one point extensions and tilting. Moreover we show that the pieces of mod $\Lambda$ have Auslander-Reiten sequence.