algebraic number field

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algebraic number field

[¦al·jə¦brā·ik ′nəm·bər ‚fēld]
(mathematics)
A finite extension field of the field of rational numbers.
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References in periodicals archive ?
Miyake, Notes on the ideal class groups of the p-class fields of some algebraic number fields, Proc.
of Tokyo) explore similarities between algebraic number fields and algebraic function fields in one variable over finite fields, explain adele rings and idele groups, derive several prime number theorems, and prove the main theorem of class field theory.
Stan, Florin, University of Illinois, Urbana-Champaign, Trace problems in algebraic number fields and applications to characters of finite groups.

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