Diagonalisation of idempotent matrices
type: Item
instance of: scholarly article
title: Diagonalisation of idempotent matrices
zbMATH Open document ID: 0606.15002
DOI: 10.1016/0021-8693(87)90186-4
author: Dirk Huylebrouck
author: Jan Van Geel
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 3979261
zbMATH Keywords: Moore-Penrose generalized inverses
zbMATH Keywords: matrices over rings
zbMATH Keywords: ID-ring
zbMATH Keywords: Von Neumann regular rings
reviewed by: Stephen L. Campbell
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90186-4
OpenAlex ID: W2082628358
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description: scientific article; zbMATH DE number 3979261