Abstract
Green and Marcos (2005) [2] call a graded k -algebra δ -Koszul if the corresponding Yoneda algebra Ext ( k , k ) is finitely generated and there exists a function δ : N → N such that Ext i , j ( k , k ) is zero if j ≠ δ ( i ) . For any integer m ≥ 3 we exhibit a noncommutative quadratic δ -Koszul algebra for which the Yoneda algebra is generated in degrees ( 1 , 1 ) and ( m , m + 1 ) . These examples answer a question of Green and Marcos. These algebras are not Koszul but m -Koszul (in the sense of Backelin).
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