On the finitistic dimension conjecture of Artin algebras

Aiping Zhang,Shunhua Zhang

doi:10.1016/j.jalgebra.2007.12.011

On the finitistic dimension conjecture of Artin algebras

Aiping Zhang, Shunhua Zhang

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https://doi.org/10.1016/j.jalgebra.2007.12.011

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Journal: Journal of Algebra	Publication Date: Mar 14, 2008
Citations: 14	License type: publisher-specific-oa

Affiliation: Shandong University

#Representation Dimension #Quasi-hereditary Algebras + Show 5 more

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Abstract

Let A be an Artin algebra and e be an idempotent element of A. We prove that if A has representation dimension at most three, then the finitistic dimension of eAe is finite, and deduce that if quasi-hereditary algebras have representation dimensions at most three, then the finitistic dimension conjecture holds.

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