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

• Autorzy: Maurizio Brunetti , Adriana Ciampella
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18G15: Ext and Tor, generalizations, K\"unneth formula
• 16S37: Quadratic and Koszul algebras
• 55S10: Steenrod algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 109
• Numer: 2
• Strony: 179-192

Daty

wydano

2007

Twórcy

autor

Maurizio Brunetti

• Dipartimento di Matematica e Applicazioni, Università di Napoli "Federico II", Via Claudio 21, I-80125 Napoli, Italy

autor

Adriana Ciampella

• Dipartimento di Matematica e Applicazioni, Università di Napoli "Federico II", Via Claudio 21, I-80125 Napoli, Italy

Identyfikatory

DOI

10.4064/cm109-2-2