Products of three triangular matrices over commutative rings

DOI10.1016/S0024-3795(01)00453-0zbMath1001.15017MaRDI QIDQ1601615

K. R. Nagarajan, M. Paul Devasahayam, T. Soundararajan

Publication date: 27 June 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

triangular matricesHermite ringbass stable rank 1

Mathematics Subject Classification ID

Factorization of matrices (15A23) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Linear groups over general rings. I: Generalities., Parabolic subgroups of groups of column-finite infinite matrices., On products of matrices of a fixed order., Bezout rings of stable range 1.5 and the decomposition of a complete linear group into the product of its subgroups, On products of three triangular matrices over associative rings, Unitriangular factorizations of Chevalley groups., Generating solutions of a linear equation and structure of elements of the Zelisko group

Cites Work

• Commutators and companion matrices over rings of stable rank 1
• Bass's first stable range condition
• Products of three triangular matrices
• Strongly 𝜋-regular rings have stable range one
• Elementary Divisors and Modules