Associative rings and algebras Modules and ideals Concept
Dedekind-finite ring
Summary
A ring is Dedekind-finite when every one-sided inverse is a two-sided inverse: forces . Such rings are also called directly finite. Commutative rings, finite rings and matrix rings over fields are Dedekind-finite, while rings of operators on infinite-dimensional spaces need not be.
Where this leads
1 page builds on this one.
Further reading
About this page
| Tag | GV1HKEAWVN |
|---|---|
| URI | m2://GV1HKEAWVN |
| Kind | concept |
| Writing | W0 stub |
| MSC | 16U99, 16U60 |
| Specializes | Ring |
| Same as |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.