Ring detail

Name: Countably infinite boolean ring

Description: Let $F$ be the field of two elements, and consider a countably infinite direct sum of copies of $F$. This is a countable boolean ring (without unity). After adjoining a unit element, it is still countable.

Notes:

Keywords subring direct product

Reference(s):

• (None), Publication Needed, No Citation Yet Exists: Please Add One., (1805). Citation Needed

This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: