Property: stable range 1

Definition: If $xa+b=1$, there is a $y$ such that $a+yb$ is a unit

Resources for learning about this property:

  • A. A. Tuganbaev. Rings close to regular. (2013) @ Chapter 6
  • T.-Y. Lam. A crash course on stable range, cancellation, substitution and exchange. (2004) @ .