Prime Algebraic Number

An irreducible algebraic integer which has the property that, if it divides the product of two algebraic integers, then it divides at least one of the factors. 1 and -1 are the only integers which divide every integer. They are therefore called the prime units.

See also

Algebraic Integer, Prime Unit

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Prime Algebraic Number." From MathWorld--A Wolfram Web Resource.

Subject classifications