THE SOCLE OF THE LAST TERM IN THE MINIMAL INJECTIVE RESOLUTION OF A GORENSTEIN MODULE

摘要

Let R be a left Noetherian ring, S a right Noetherian ring and U-R a Gorenstein module with S = End(U-R). If the injective dimensions of( R)U and U-S are finite, then the last term in the minimal injective resolution of U-R has an essential socle.