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A Priddy-type Koszulness criterion for non-locally finite algebras

Maurizio Brunetti, Adriana Ciampella (2007)

Colloquium Mathematicae

A celebrated result by S. Priddy states the Koszulness of any locally finite homogeneous PBW-algebra, i.e. a homogeneous graded algebra having a Poincaré-Birkhoff-Witt basis. We find sufficient conditions for a non-locally finite homogeneous PBW-algebra to be Koszul, which allows us to completely determine the cohomology of the universal Steenrod algebra at any prime.

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