Abstract
Let $A$ be a finite dimension algebra over an algebraically closed field such that all its idempotent ideals are projective. We show that if $A$ is representation-infinite and not hereditary, then there exist infinitely many nonisomorphic indecomposable $A$-modules of infinite projective dimension.
Citation
Flavio U. Coelho. Eduardo N. Marcos. Hector A. Merklen. Maria I. Platzeck. "Modules of infinite projective dimension over algebras whose idempotent ideals are projective." Tsukuba J. Math. 21 (2) 345 - 359, October 1997. https://doi.org/10.21099/tkbjm/1496163246
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