INVERTIBLE COMMUTATORS IN MATRIX RINGS

DOI10.1142/S0219498811004422zbMath1216.15010OpenAlexW2020317525MaRDI QIDQ2995430

Dinesh Khurana, Tsit-Yuen Lam

Publication date: 21 April 2011

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498811004422

zbMATH Keywords

binary quadratic formsmatrix ringsadditive commutatorsdeterminantal formulascompletable and reflectable matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

A quantum-trace determinantal formula for matrix commutators, and applications, Generalized commutators in matrix rings, Commutators and Anti-Commutators of Idempotents in Rings

Cites Work

• Stable range one for rings with many units
• Clean matrices and unit-regular matrices.
• The rank of a commutator
• Additive commutators between 2×2 integral matrix representations of orders in identical or different quadratic number fields