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A characterization of Artinian rings whose endomorphism rings have finite global dimension

Dan Zacharia
1988 Proceedings of the American Mathematical Society  
We prove that if A is a left artinian ring having the property that for every idempotent e, the ring e A e has finite global dimension then A is a quotient of an hereditary artinian ring.
doi:10.1090/s0002-9939-1988-0958038-6 fatcat:kb3g45n7pjcanfqc7knzfa3ade