摘要 : We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to δ. If a quasi-hereditary algebra δ is Koszul with respect to α, then δ and the Yoneda extension algebra of δ are Koszul... 展开 We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to δ. If a quasi-hereditary algebra δ is Koszul with respect to α, then δ and the Yoneda extension algebra of δ are Koszul dual in a sense explained below, implying in particular that their bounded derived categories of finitely generated graded modules are equivalent. We also prove that the extension algebra of δ is Koszul in the classical sense. 收起