# Definition:Local Ring/Commutative/Definition 2

Jump to navigation
Jump to search

## Definition

Let $A$ be a commutative ring with unity.

The ring $A$ is **local** if and only if it is nontrivial and the sum of any two non-units is a non-unit.

## Also see

There are no source works cited for this page.Source citations are highly desirable, and mandatory for all definition pages.Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page. |