A short proof of Grinshpon's theorem [article]

Dinesh Khurana
2009 arXiv   pre-print
Grinshpon has proved that if S is a commutative subring of a ring R and A∈ 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.
arXiv:0904.0906v1 fatcat:qh3rarbufbgtjarjxna4mrlvgi