Morita-like Equivalence of Infinite Matrix Subrings Original Research Article

The concept of Morita equivalence of matrix subrings with identity and of categories of modules is extended to "Morita-like" equivalence. This enables the generalizations of the theorems of Morita, Garcia, and Xu from the module of image × image matrices over a ring R to the module of Γ × Γ matrices, where Γ is an arbitrary indexing set.