\(d\)-Koszul algebras.
Generalized \(d\)-Koszul algebras are graded algebras generated in degrees 0 and 1, such that there exists a graded projective resolution of the part of degree 0 for which the \(n\)-th projective is generated in degree \(\delta(n)\), where \(\delta(n)\) depends on \(n\) and \(d\). It is proved that the even Ext-algebra and the whole Ext-algebra (after regrading) of a \(d\)-Koszul algebra are Koszul algebras. A description of the Ext-algebra of a \(d\)-Koszul algebra by generators and relations is given.
scientific article; zbMATH DE number 2092910