Block generalized inverses

Elements of rings with equal spectral idempotents

“…The concept has been studied recently in the setting of C*-algebras [10]. DEFINITION We recall the following well known characterization of EP elements (see, for instance, [6,10]):…”

On finite regular rings

“…Let R be a ring with unity and let α, b, c, de R. We define, There are two common ways of weakening these laws. We may define for a fixed g eR 9 …”

Group inverses and Drazin inverses of bidiagonal and triangular Toeqlitz matrices

“…"his may either be calculated by using the rank formula for partitioned natrices (Hartwig (1976) as given by (4.17). Added in proof.…”