#### Vol. 15, No. 4, 2021

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A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras

### Daniel Rogalski, Robert Won and James J. Zhang

Vol. 15 (2021), No. 4, 971–997
##### Abstract

Let $H$ be a weak Hopf algebra that is a finitely generated module over its affine center. We show that $H$ has finite self-injective dimension and so the Brown–Goodearl conjecture holds in this special weak Hopf setting.

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