Definition 1. Let $R$ be a ring. The characteristic of $R$, denoted by
\[\chara R,\]is the smallest $n \in \N^+$ such that
\[n \cdot 1 = 0,\]if it exists. Otherwise, we let $\chara R = 0$.
Pub Apr 06, 2026 Up Jun 11, 2026
Definition 1. Let $R$ be a ring. The characteristic of $R$, denoted by
\[\chara R,\]is the smallest $n \in \N^+$ such that
\[n \cdot 1 = 0,\]if it exists. Otherwise, we let $\chara R = 0$.