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
- in a Hopf algebra, an element X on which the comultiplication Δ has the value Δ(X) = X⊗1 + 1⊗X
- in a free group, an element of a free generating set
Famous quotes containing the words primitive and/or element:
“Anthropologists are a connecting link between poets and scientists; though their field-work among primitive peoples has often made them forget the language of science.”
—Robert Graves (1895–1985)
“Having become conscious of the truth he once perceived, man now sees only the awfulness or the absurdity of existence, he now understands the symbolic element in Ophelia’s fate, he now recognizes the wisdom of the woodland god, Silenus: it nauseates him.”
—Friedrich Nietzsche (1844–1900)