Unit (ring theory)
= Unit (ring theory)
{wiki=Unit_(ring_theory)}
In ring theory, a **unit** is an element of a ring that has a multiplicative inverse within that ring. More formally, let \\( R \\) be a ring. An element \\( u \\in R \\) is called a unit if there exists an element \\( v \\in R \\) such that: \\\[ u \\cdot v = 1 \\\] where \\( 1 \\) is the multiplicative identity in the ring \\( R \\).