Abelian field

Abelian field

[ə′bēl·yən ′fēld]
(mathematics)
A set of elements a, b, c, … forming Abelian groups with addition and multiplication as group operations where a (b + c) = ab + ac. Also known as Abelian domain; domain.
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References in periodicals archive ?
F][[GAMMA]]), and it implies that when p [greater than or equal to] 5, an imaginary abelian field F satisfies ([H.
M] the relative class number when M is an imaginary abelian field.
At present, we have no example of an abelian field F which satisfies ([H.
Sinnott, On the Stickelberger ideal and the circular units of an abelian field, Invent.
The main purpose of this note is to deal with real abelian fields satisfying ([H.
1] mentioned above, we obtain the following assertion using some computational results on abelian fields.
The reason to establish such differences is that the electron is usually described through Quantum Electrodynamics (QED) [8], an abelian field theory.
Real abelian fields satisfying the Hilbert-Speiser condition for some small primes p .
Frohlich, On the absolute Galois group of abelian fields, J London Math.