A Priddy-type Koszulness criterion for non-locally finite algebras
Maurizio Brunetti; Adriana Ciampella
Colloquium Mathematicae (2007)
- Volume: 109, Issue: 2, page 179-192
- ISSN: 0010-1354
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topMaurizio Brunetti, and Adriana Ciampella. "A Priddy-type Koszulness criterion for non-locally finite algebras." Colloquium Mathematicae 109.2 (2007): 179-192. <http://eudml.org/doc/283820>.
@article{MaurizioBrunetti2007,
abstract = {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.},
author = {Maurizio Brunetti, Adriana Ciampella},
journal = {Colloquium Mathematicae},
keywords = {Koszul algebras; monomial algebras},
language = {eng},
number = {2},
pages = {179-192},
title = {A Priddy-type Koszulness criterion for non-locally finite algebras},
url = {http://eudml.org/doc/283820},
volume = {109},
year = {2007},
}
TY - JOUR
AU - Maurizio Brunetti
AU - Adriana Ciampella
TI - A Priddy-type Koszulness criterion for non-locally finite algebras
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 2
SP - 179
EP - 192
AB - 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.
LA - eng
KW - Koszul algebras; monomial algebras
UR - http://eudml.org/doc/283820
ER -
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