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Mazorchuk–Parker's finitistic dimension conjecture for properly stratified algebras
Mazorchuk–Parker's conjecture. The finitistic dimension of $A$ is equal to two times the projective dimension of its characteristic tilting module:
Conjectureopenfinitistic-dimension properly-stratified-algebras tilting-modulesarXiv posted 2 days ago

Mazorchuk–Parker's finitistic dimension conjecture for properly stratified algebras