Primitive element definitions

Primitive element

In mathematics, the term primitive element can mean: ...
Found on http://en.wikipedia.org/wiki/Primitive_element

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Primitive element

[co-algebra] If A is a (certain graded) Hopf algebra over a field of characteristic zero, then the Milnor–Moore theorem states the universal enveloping algebra of the graded Lie algebra of primitive elements of A is isomorphic to A. ...
Found on http://en.wikipedia.org/wiki/Primitive_element_(co-algebra)

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Primitive element

[finite field] For example, 2 is a primitive element of the field GF(3) and GF(5), but not of GF(7) since it generates the cyclic subgroup of order 3 {2,4,1}; however, 3 is a primitive element of GF(7). The minimal polynomial of a primitive element is a primitive polynomial. ==Properties== ===Number of Primitive Elements=== The number of pr...
Found on http://en.wikipedia.org/wiki/Primitive_element_(finite_field)

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