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arXiv:1605.09766 [math.RT]AbstractReferencesReviewsResources

Igusa-Todorov functions for Artin algebras

Marcelo Lanzilotta, Gustavo Mata

Published 2016-05-31Version 1

In this paper we study the behaviour of the Igusa-Todorov functions for Artin algebras A with finite injective dimension, and Gorenstein algebras as a particular case. We show that the $\phi$-dimension and $\psi$-dimension are finite in both cases. Also we prove that monomial, gentle and cluster tilted algebras have finite $\phi$-dimension and finite $\psi$-dimension.

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