On commutators of matrices over unital rings

Michael Kaufman; Lillian Pasley

doi:10.2140/involve.2014.7.769

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Home > Journals > Involve > Volume 7 > Issue 6 > Article

2014 On commutators of matrices over unital rings

Michael Kaufman, Lillian Pasley

Involve 7(6): 769-772 (2014). DOI: 10.2140/involve.2014.7.769

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Abstract

Let $R$ be a unital ring and let $X \in M_{n} (R)$ be any upper triangular matrix of trace zero. Then there exist matrices $A$ and $B$ in $M_{n} (R)$ such that $X = [A, B]$ .

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Michael Kaufman. Lillian Pasley. "On commutators of matrices over unital rings." Involve 7 (6) 769 - 772, 2014. https://doi.org/10.2140/involve.2014.7.769