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- Koszul_algebra abstract "In abstract algebra, a Koszul algebra is a graded -algebra over which the ground field has a linear minimal graded free resolution, i.e., there exists an exact sequence:It is named after the French mathematician Jean-Louis Koszul.We can choose bases for the free modules in the resolution; then the maps can be written as matrices. For a Koszul algebra, the entries in the matrices are zero or linear forms.An example of a Koszul algebra is a polynomial ring over a field, for which the Koszul complex is the minimal graded free resolution of the ground field. There are Koszul algebras whose ground fields have infinite minimal graded free resolutions, e.g,".
- Koszul_algebra wikiPageExternalLink koszulalgfroberg.pdf.
- Koszul_algebra wikiPageExternalLink Operads.pdf.
- Koszul_algebra wikiPageExternalLink S0894-0347-96-00192-0.pdf.
- Koszul_algebra wikiPageExternalLink S0002-9947-08-04539-X.
- Koszul_algebra wikiPageID "7987653".
- Koszul_algebra wikiPageRevisionID "604035342".
- Koszul_algebra hasPhotoCollection Koszul_algebra.
- Koszul_algebra subject Category:Algebras.
- Koszul_algebra type Abstraction100002137.
- Koszul_algebra type Algebra106012726.
- Koszul_algebra type Algebras.
- Koszul_algebra type Cognition100023271.
- Koszul_algebra type Content105809192.
- Koszul_algebra type Discipline105996646.
- Koszul_algebra type KnowledgeDomain105999266.
- Koszul_algebra type Mathematics106000644.
- Koszul_algebra type PsychologicalFeature100023100.
- Koszul_algebra type PureMathematics106003682.
- Koszul_algebra type Science105999797.
- Koszul_algebra comment "In abstract algebra, a Koszul algebra is a graded -algebra over which the ground field has a linear minimal graded free resolution, i.e., there exists an exact sequence:It is named after the French mathematician Jean-Louis Koszul.We can choose bases for the free modules in the resolution; then the maps can be written as matrices.".
- Koszul_algebra label "Koszul algebra".
- Koszul_algebra sameAs m.026mkzl.
- Koszul_algebra sameAs Q6433697.
- Koszul_algebra sameAs Q6433697.
- Koszul_algebra sameAs Koszul_algebra.
- Koszul_algebra wasDerivedFrom Koszul_algebra?oldid=604035342.
- Koszul_algebra isPrimaryTopicOf Koszul_algebra.