Abstract
We introduce a new function from the bounded derived category of a finite dimensional algebra over a field to the set of all natural numbers, which is a generalized version of the Igusa–Todorov function. Then we extend the results corresponding to the Igusa–Todorov function. As an application, we give a new proof of the finiteness of the finitistic dimension of special biserial algebras.
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This work is supported by the scientific research foundation of the Civil Aviation University of China (No. 2010QD09X).
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Xu, D. Generalized Igusa–Todorov function and finitistic dimensions. Arch. Math. 100, 309–322 (2013). https://doi.org/10.1007/s00013-013-0497-0
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DOI: https://doi.org/10.1007/s00013-013-0497-0