En álgebra abstracta, la característica de un anillo es definida como el entero positivo más pequeño tal que . Si no existe tal , se dice que la característica de es 0. De forma alternativa y equivalente, podemos definir la característica del anillo como el único número natural tal que contenga un subanillo isomorfo al anillo cociente .

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In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity element (1) in a sum to get the additive identity element (0); the ring is said to have characteristic zero if this sum never reaches the additive identity. That is, char(R) is the smallest positive number n such that if such a number n exists, and 0 otherwise. The characteristic may also be taken to be the exponent of the ring's additive group, that is, the smallest positive n such that for every element a of the ring (again, if n exists; otherwise zero). Some authors do not include the multiplicative identity element in their requirements for a ring (see ring), and this definition is suitable for that convention; otherwise the two definitions are equivalent due to the distributive law in rings.

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