Drazin-Moore-Penrose invertibility in rings
The authors give characterizations for elements in an arbitrary ring with involution, having a group inverse and a Moore-Penrose inverse that are equal and explain the difference between these elements and EP-elements. They also generalize the results to elements for which a power has a Moore-Penrose inverse and a group inverse that are equal. At the same time they consider as an application the ring of square matrices of order \(m\) over a projective free ring \(R\) with involution such that \(R^m\) is a module of finite length, providing a new characterization for range-Hermitian matrices over the complexes.
scientific article; zbMATH DE number 2117289
scientific article