Abstract
Recently it has been proved that if σ∈GLn(R) where R is a commutative ring and n≥3, then each of the matrices tkl(σij)(i≠j,k≠l) is a product of eight En(R)-conjugates of σ and σ−1. In this article we show that similar results hold true if R is a (noncommutative) von Neumann regular ring, or a Banach algebra, or a ring satisfying a stable range condition, or a ring with Euclidean algorithm, or an almost commutative ring.
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