• Source: Primitive element

In mathematics, the term primitive element can mean:

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 Δ has the value Δ(X) = X⊗1 + 1⊗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)

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• Primitive element
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• Primitive element theorem
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• Simple extension
• Primitive
• Finite field
• Primitive root
• Lattice (group)
• Normal basis