中文摘要：

令A为诺特基本k-代数，设J为其Jacobson根且半单代数A／J同构于有限个k的直积．证明了如果A是AS—Gorenstein代数，则其Yoneda代数ExtA（A／J，A／J）是Frobenius代数；如果A的内射维数injdimAA=d，则函子ExtdA（-，A）是可表示的．

英文摘要：

Let A be a noetherian basic k-algebra with Jacobson radical J such that A/J is a finite product of k. It is proved that the Yoneda algebra Ext＊A（A/J, A/J） is Frobenius if A is AS-Gorenstein and gldim A 〈∞. If the injective dimension injdimAA = d, then the functor Extd （-, A） is representable.