root of unity

(redirected from Primitive n-th root of unity)

root of unity

[¦rüt əv ′yü·nəd·ē]
(mathematics)
A root of unity in a field F is an element a in F such that a n = 1 for some positive integer n.
References in periodicals archive ?
n] (1, q), where n > 2 is a positive integer and q is a primitive n-th root of unity.
2 is an integer, q [member of] K is a primitive n-th root of unity and p [member of] K.
2 be an integer and q [member of] K a primitive n-th root of unity.
1] is also a primitive n-th root of unity, one can define another Taft Hopf algebra [A.
n](p, q) in [8], where p, q [member of] K and q is a primitive n-th root of unity.
where [omega] is the primitive n-th root of unity, e 2[pi]i/n.
If [xi] is a primitive n-th root of unity in some field containing [F.