A short proof of Grinshpon's theorem

Details A short proof of Grinshpon's theorem A short proof of Grinshpon's theorem

2009-04-06

arxiv.org/abs/0904.0906v1

Mathematics

Rings and Algebras

1 page

Scientific paper

Grinshpon has proved that if $S$ is a commutative subring of a ring $R$ and
$A\in M_n(S)$ is invertible in $M_n(R)$, then $det(A)$ is invertible in $R$. We
give a very short proof of the result.

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