Jisho

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Noun
1. characteristic (of a ring or field in algebra)Mathematics
Wikipedia definition
2. Characteristic (algebra)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 repeated 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.
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