Drazin-Moore-Penrose invertibility in rings
type: Item
instance of: scholarly article
title: Drazin-Moore-Penrose invertibility in rings
zbMATH Open document ID: 1080.15004
author: P. Patrício
author: R. Puystjens
published in: Linear Algebra and its Applications
publication date: 2004-11-22T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 2117289
zbMATH Keywords: Drazin-Moore-Penrose inverse
zbMATH Keywords: module
zbMATH Keywords: EP elements
zbMATH Keywords: Core nilpotent decomposition
zbMATH Keywords: fitting decomposition
zbMATH Keywords: generalized inverses
zbMATH Keywords: projective free ring
zbMATH Keywords: range-Hermitian matrices
reviewed by: Nikolai I. Osetinski
MaRDI profile type: Publication
full work available at URL: j.laa.2004.04.006
OpenAlex ID: W2001302720
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DOI: 10.1016/J.LAA.2004.04.006
description: scientific article; zbMATH DE number 2117289