Ring $R_{ 82 }$

Reference(s):

• K. C. O’Meara. A new setting for constructing von Neumann regular rings. (2017) @ Section 1
• K. R. Goodearl. Von Neumann regular rings. (1991) @ Example 5.12, p 54
• P. P. Nielsen and J. Ster. Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings. (2015) @ Section 2