by Heinschel, Nancy; Huisgen-Zimmermann, Birge

For any increasing function $f: \mathbb{N} \rightarrow \mathbb{N}_{\ge 2}$ which takes only finitely many distinct values, a connected finite dimensional algebra $\Lambda$ is constructed, with the property that ${\rm {fin\; dim}}_{n} \Lambda = f(n)$ for all $n$; here ${\rm {fin\; dim}}_{n} \Lambda$ is the $n$-generated finitistic dimension of $\Lambda$. The stacking technique developed for this construction of homological examples permits strong control over the higher syzygies of $\Lambda$-modules in terms of the algebras serving as layers.

DOI: 10.1007/s10468-006-9029-y
Online Date: 12/5/2006
Print publication date: 2/1/2007
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