(Strongly) Gorenstein Injective Modules Over Upper Triangular Matrix Artin Algebras

The topics of this paper are Gorenstein injective modules and strong Gorenstein injective modules over upper triangular matrix Aruin algebras.Let ?=((?))be an Artin algebra.We characterize finitely generated Gorenstein injective A-modules under the condition that M is a cocompatible(A,B)-bimodule,and establish a rec-ollement of the stable category (?).We also determine all the strongly complete injective resolutions and all the strongly Gorenstein injective modules over ?.