Source: wikibot/local-ring
= Local ring
{wiki=Local_ring}
In algebraic geometry and commutative algebra, a **local ring** is a particular type of ring that has a unique maximal ideal. More formally, if \\( R \\) is a commutative ring with identity, it is called a local ring if it contains a single maximal ideal \\( \\mathfrak\{m\} \\). This property leads to a structure that facilitates the study of functions and algebraic entities that are "localized" around a certain point.