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Characteristic (algebra)

In mathematics, the characteristic of a ring R {\displaystyle R} , often denoted char ⁡ ( R ) {\displaystyle \operatorname {char} (R)} , is defined to be the smallest positive number of copies of the ring's multiplicative identity (1) that will sum to the additive identity (0). If no such number exists, the ring is said to have characteristic zero.

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Characteristic (algebra)

Nodes52
Edges51
Triples0
Avg. degree1.96
Density0.038462
Components1

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characteristic ring displaystyle prime field mathbb fields number zero homomorphism smallest exists also integers finite positive rings isomorphic rational char

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