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Primitive element
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In mathematics, the term '''primitive element''' can mean: * [[Primitive root modulo n|Primitive root modulo ''n'']], in number theory * [[Primitive element (field theory)]], an element that generates a given field extension * [[Primitive element (finite field)]], an element that generates the multiplicative group of a finite field * [[Primitive element (lattice)]], an element in a lattice that is not a positive integer multiple of another element in the lattice * [[Primitive element (coalgebra)]], an element ''X'' on which the comultiplication Ξ has the value Ξ(''X'') = ''X''β1 + 1β''X'' * [[Primitive element (free group)]], an element of a free generating set * [[Primitive element (Lie algebra)]], a Borel-weight vector ==See also== * [[Primitive element theorem]] * [[Primitive root (disambiguation)]] {{mathdab}}
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