Regular local ring
= Regular local ring
{wiki=Regular_local_ring}
A **regular local ring** is a specific type of local ring that has a well-behaved structure in relation to its maximal ideal and its associated residue field. To define it more precisely: 1. **Local Ring**: A local ring \\( R \\) is a commutative ring with a unique maximal ideal \\( \\mathfrak\{m\} \\).