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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




© 1996-9 Eric W. Weisstein
1999-05-26