If \(R\) is a simple ring and \(n\) is a positive integer, prove that \(R_n\), the ring of all \(n\times n\) matrices over \(R\), is simple.
Question
Math 6310 • Algebra
Fall 1995 • Question 5
Question
Fall 1995 • Question 5
If \(R\) is a simple ring and \(n\) is a positive integer, prove that \(R_n\), the ring of all \(n\times n\) matrices over \(R\), is simple.