Associative rings and algebras Homological methods Concept
Koszul algebra
Summary
A Koszul algebra is a graded associative algebra over a field whose trivial module has a linear projective resolution. This means that the -th term of the resolution is generated in degree . Polynomial algebras and exterior algebras are the basic examples, resolved by the Koszul complex. Koszul algebras are quadratic, and they are the setting of Koszul duality.
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| Tag | FTKFCCZ8YA |
|---|---|
| URI | m2://FTKFCCZ8YA |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16S37 |
| Specializes | Associative algebra |
| Same as | |
| Changed | 2 November 2026 |
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