فهرست نشریات علمی دسترسی آزاد ایران

In this article, we first establish the Morita equivalence between a generalized matrix Banach algebra and its corner algebra under certain conditions. Then, by applying this equivalence relation, we show that the Hochschild (or homology) cohomology group of a generalized matrix Banach algebra is isomorphic to the Hochschild (or homology) cohomology groups of its corner algebra.