bn:00017763n
Noun Concept
Categories: Field theory, Ring theory, Articles with short description
EN
characteristic  сharacteristic  characteristic 0  characteristic 2  Characteristic exponent of a field
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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
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algebra
field
field theory
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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
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