Products of idempotent matrices over Hermite domains
type: Item
instance of: scholarly article
title: Products of idempotent matrices over Hermite domains
zbMATH Open document ID: 0786.15017
DOI: 10.1007/BF02573579
author: Wim Ruitenburg
published in: Semigroup Forum
publication date: 1993-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/135243
review text: The author establishes necessary and sufficient conditions for the property that all \(n\times n\) matrices of rank less than \(n\) in a Hermitian ring are products of idempotents, in particular showing that this holds if and only if all invertible matrices are products of elementary matrices, and for the fact that it suffices to consider \(2 \times 2\) matrices.
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 164974
zbMATH Keywords: idempotent matrix
zbMATH Keywords: Hermitian domain
zbMATH Keywords: weakly complementary submodule
zbMATH Keywords: Hermitian ring
zbMATH Keywords: elementary matrices
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
cites work: Q3848243
cites work: Abundant Semigroups
cites work: Products of idempotent integer matrices
cites work: Elementary Divisors and Modules
OpenAlex ID: W2023265264
description: scientific article; zbMATH DE number 164974