(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras.

Let $$\Lambda = \left( {\begin{array}{*{20}{c}} A&M \\ 0&B \end{array}} \right)$$ be an Artin algebra. In view of the characterization of finitely generated Gorenstein injective Λ-modules under the condition that M is a cocompatible ( A, B)-bimodule, we establish a recollement of the stable category $$\overline {Ginj\left( \Lambda \right)} $$ . We also determine all strongly complete injective resolutions and all strongly Gorenstein injective modules over Λ. [ABSTRACT FROM AUTHOR]