Some decompositions of matrices over local rings
type: Item
instance of: scholarly article
title: Some decompositions of matrices over local rings
author: Mai Hoang Bien
author: Phan T. T. Nhan
author: Nguyen Huu Tri Nhat
published in: Journal of Algebra and its Applications
publication date: 2025-01-22T00:00:00Z
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A23
zbMATH DE Number: 7973187
zbMATH Keywords: local ring
zbMATH Keywords: matrix decomposition
zbMATH Keywords: involution
zbMATH Keywords: commutator of involutions
MaRDI profile type: Publication
cites work: Products of involutory matrices over rings
cites work: A certain decomposition of infinite invertible matrices over division algebras
cites work: Decompositions of matrices over division algebras into products of commutators
cites work: On a unification result by A. R. Sourour concerning commutators and products of involutions
cites work: Q4126487
cites work: On a question of M. Newman on the number of commutators
cites work: Q3963168
cites work: Projective collineations as products of homologies, elations, and projective reflections
cites work: A generalization of Sourour's theorem
cites work: Products of commutators on a general linear group over a division algebra
cites work: Products of involutions
cites work: Q6104059
cites work: Commutators in division rings revisited
cites work: Q4989732
cites work: Decomposition of infinite matrices into products of commutators of involutions
cites work: Word equations in simple groups and polynomial equations in simple algebras.
cites work: \(GL^{\pm{}}_ n(R)\) is 5-reflectional
cites work: Q4300594
cites work: Q5071133
cites work: A note on a new matrix decomposition
cites work: A factorization theorem for matrices
cites work: Commutators in the Special and General Linear Groups
cites work: Q3485004
cites work: Commutators and companion matrices over rings of stable rank 1
cites work: Decomposition of matrices into commutators of involutions
DOI: 10.1142/S0219498825500884
description: scientific article; zbMATH DE number 7973187