On idempotent stable range 1 matrices

Abstract

We characterize the idempotent stable range 1, 2 × 2 matrices over commutative rings and in particular the integral matrices with this property. Several special cases and examples complete the subject.

Keywords

• idempotent stable range 1
• clean
• coprime integers
• 2 × 2 matrix
• 16u99
• 16u10
• 15b33
• 15b36
• 16-04
• 15-04