algebraic integer

English

Etymology

The idea of integer here is that the coefficient of the highest power $x^{n}$ term is 1.

Noun

algebraic integer (plural algebraic integers)

(mathematics) A number (real or complex) which is a root of a monic polynomial whose coefficients are integers.
A Gaussian integer $z=a+ib$ is an algebraic integer since it is a solution of either the equation $z^{2}+(-2a)z+(a^{2}+b^{2})=0$ or the equation $z-a=0$ .

Hypernyms

algebraic number

Hyponyms

Related terms

quadratic integer

Translations

Translations

Chinese:
Mandarin: 代数整数 (dàishù zhěngshù)
Finnish: algebrallinen kokonaisluku

Greek: αλγεβρικός ακέραιος m (algevrikós akéraios)
Hungarian: algebrai egész
Swedish: algebraiskt heltal (sv) n

Further reading

algebraic integer on Wikipedia.Wikipedia

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