Word.ws English Dictionary

algebraic integers

algebraic integers is the plural of algebraic integer.

Meaning of algebraic integer

Noun

algebraic integer (plural algebraic integers)

  1. A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.
    • A Gaussian integer z=a+ib is an algebraic integer since it is a solution of either the equation z²+(-2a)z+(a²+b²)=0 or the equation z-a=0.

Questions about algebraic integers

What is algebraic integers the plural of?
Algebraic integers is the plural of algebraic integer.

Words near algebraic integers in the dictionary

  1. algebraic graph theories
  2. algebraic graph theory
  3. algebraic group
  4. algebraic groups
  5. algebraic integer
  6. algebraic integers
  7. algebraic K-theory
  8. algebraic normal form
  9. algebraic notation
  10. algebraic notations
  11. algebraic number

Source and license

Adapted from Wiktionary: algebraic integers (page history and authors); algebraic integer (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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