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English-
translations for
primitive element
Definition of primitive element
An
element
that
generate
s a
simple extension
An
element
that
generate
s the
multiplicative
group
of a given
Galois field
(finite
field
Given a
modulus
''n'', a number ''g'such that every number
coprime
to ''n'is
congruent
to some power of ''g''; ''equivalently'', a
generator
of the
multiplicative field
of integers modulo ''n''
An
element
that is not a positive integer multiple of another element of the
lattice
An
element
''x'∈ ''C'such that ''μ'= ''x'⊗ ''g + g'⊗ ''x'', where ''μ'is the
comultiplication
and ''g'is an element that maps to the
multiplicative identity
1 of the base field under the
counit
(in particular, if ''C'is a
bialgebra
, ''g'= 1
An element of a
free generating set
of a given free group
Related words
primitive
primitiveness
primitively
primitive type
Primitive Irish
primitive root
primitive polynomial
primitive state
primitive art
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