Description: Let $X$ be a zero-dimensional topological space such that the Stone-Čech compactification $\beta X$ is not zero-dimensional. The required ring is $R=C(X)$, the set of continuous functions from $X$ into $\mathbb R$. (A topological space is called zero-dimensional if it has a base of clopen sets.)

Keywords ring of functions

Reference(s):

- W. W. McGovern. Clean semiprime f-rings with bounded inversion. (2003) @ Example 20

Known Properties

Legend

- = has the property
- = does not have the property
- = information not in database

Name | Measure | |
---|---|---|

composition length | left: $\infty$ | right: $\infty$ |

(Nothing was retrieved.)