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bn:00017763n
Noun Concept
Categories: Ring theory, Articles with short description, Field theory
EN
characteristic  сharacteristic  characteristic 0  characteristic 2  Characteristic exponent of a field
EN
The integer part (positive or negative) of the representation of a logarithm; in the expression log 643 = 2.808 the characteristic is 2 WordNet 3.0
English:
field theory
field
algebra
Definitions
Examples
Relations
Sources
EN
The integer part (positive or negative) of the representation of a logarithm; in the expression log 643 = 2.808 the characteristic is 2 WordNet 3.0 & Open English WordNet
In mathematics, the characteristic of a ring R, often denoted char, is defined to be the smallest positive number of copies of the ring's multiplicative identity that will sum to the additive identity. Wikipedia
In a field of a ring, the smallest positive integer, if any, such that the sum of n ones equals 0; zero otherwise Wikidata
For a given field or ring, a natural number that is either the smallest positive number n such that n instances of the multiplicative identity (1) summed together yield the additive identity (0) or, if no such number exists, the number 0. Wiktionary
EN
The characteristic of a field, if non-zero, must be a prime number. Wiktionary
IS A
integer
invariant
FACET OF
prime field
WordNet 3.0 & Open English WordNet
EN
characteristic
Wikipedia
EN
characteristic (algebra)
Wikidata
EN
сharacteristic
Wiktionary
EN
characteristic
Wikipedia Redirections
EN
Characteristic (field), characteristic 0, characteristic 2, Characteristic exponent of a field, characteristic of a field, characteristic of a ring, characteristic p, Characteristic subring, Characteristic two, characteristic zero, Field characteristic, positive characteristic, prime characteristic, prime field, prime subfield
Wikidata Alias
EN
characteristic of a field, characteristic of a ring

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