Description: See the expanded details page for the construction.

Notes: Given as an example of a unit-regular ring which contains a regular subring which isn't unit-regular.

Krull dimension: (unknown)

Keywords endomorphism ring infinite matrix ring subring

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

Symmetric properties

Asymmetric properties