Definition:Local Ring/Commutative

Definition
Let $A$ be a commutative ring with unity.

Also denoted as
One also writes $(A, \mathfrak m)$ for a commutative local ring $A$ with maximal ideal $\mathfrak m$.

Also see

 * Equivalence of Definitions of Commutative Local Ring

Generalization

 * Definition:Noncommutative Local Ring