On the representation theory of rings in matrix form.

— ^-bimodule. I. Palmerdeveloped results on the homological and projective dimensions ofsuch rings in [8]. The first section of this paper contains notationand a structure result which is analogous to Theorem (0.2). Theremainder of the paper studies rings of form (0.3) in special cases.The goal is to reduce the study of modules over such rings to modulesover generalized lower triangular rings. Under certain hypothesisthis is done in the case where