Geodesic
A Priddy-type Koszulness criterion for non-locally finite algebras
Maurizio Brunetti 1   ; Adriana Ciampella 1
1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” Via Claudio 21 I-80125 Napoli, Italy
Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 179-192 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm109-2-2
Keywords: celebrated result priddy states koszulness locally finite homogeneous pbw algebra homogeneous graded algebra having poincar birkhoff witt basis sufficient conditions non locally finite homogeneous pbw algebra koszul which allows completely determine cohomology universal steenrod algebra prime

Maurizio Brunetti  1   ; Adriana Ciampella  1

1 Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II” Via Claudio 21 I-80125 Napoli, Italy 
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Maurizio Brunetti; Adriana Ciampella. A Priddy-type Koszulness criterion for
 non-locally finite algebras. Colloquium Mathematicum, Tome 109 (2007) no. 2, pp. 179-192. doi: 10.4064/cm109-2-2

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