Diagonalisation of idempotent matrices
The existence of Moore-Penrose generalized inverses for matrices over rings is related to the existence of diagonalisations for these matrices. An ID-ring is one in which every idempotent matrix over that ring is diagonalisable. This paper discusses ID-rings and their relationship to the diagonalisation of Von Neumann regular rings.
scientific article; zbMATH DE number 3979261
scientific article