Definition:Characteristic of Ring

Definition
Let $\left({R, +, \circ}\right)$ be a ring with unity whose zero is $0_R$ and whose unity is $1_R$.

Also defined as
Some authors insist that the characteristic is defined on integral domains only.

Some others define the concept only on fields.

Also denoted as
Some sources use $\map {\operatorname {char} } R$ to denote the characteristic.

Also see

 * Equivalence of Definitions of Characteristic of Ring
 * Characteristic of Division Ring is Zero or Prime