Abstract
n-Igusa-Todorov algebras are closely related to the finitistic dimension conjecture. Each n-Igusa-Todorov algebra has finite finitistic dimension. In this article, we find some new criteria for algebras being n-Igusa-Todorov algebras (here n = 0, 1). As applications, we extend the proof of the finitistic dimension conjecture to several new classes of algebras.
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