[Stability of the Koszul property for the semi-cross product of homogeneous algebras]
We study the stability of Koszul and Gorenstein properties for the semi-cross product of homogeneous algebras. We use the formalism of N-complexes. The proofs are illustrated by the example of the algebra generated by Yang–Baxter relations.
Nous étudions la conservation des propriétés de Koszul et de Gorenstein pour le produit semi-croisé des algèbres homogènes.
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Antonin Pottier 1, 2
@article{CRMATH_2006__343_3_161_0, author = {Antonin Pottier}, title = {Stabilit\'e de la propri\'et\'e de {Koszul} pour les alg\`ebres homog\`enes vis-\`a-vis du produit semi-crois\'e}, journal = {Comptes Rendus. Math\'ematique}, pages = {161--164}, publisher = {Elsevier}, volume = {343}, number = {3}, year = {2006}, doi = {10.1016/j.crma.2006.06.023}, language = {fr}, }
Antonin Pottier. Stabilité de la propriété de Koszul pour les algèbres homogènes vis-à-vis du produit semi-croisé. Comptes Rendus. Mathématique, Volume 343 (2006) no. 3, pp. 161-164. doi : 10.1016/j.crma.2006.06.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.06.023/
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