Property detail

Property name: unit regular
Definition: For every $x$, there exists a unit $u$ such that $x=xux$
Rings with property: 14
Rings without property: 65

Metaproperties

This property has the following metaproperties
• passes to quotient rings (theorem needed)
• stable under products (theorem needed)
• stable under finite products (theorem needed)
• Morita invariant (theorem needed)