algebraic number field

== English == === Noun === algebraic number field (plural algebraic number fields) (mathematics, algebraic number theory) A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers. 2006, Andres Iglesias, Nobuki Takayama (editors), Mathematical Software - ICMS 2006: 2nd International Congress, Proceedings, Masayuki Noro, An Efficient Implementation for Computing Gröbner Bases over Algebraic Number Fields, Springer, LNCS 4151, page 99, If the operations over an algebraic number field are provided, we can apply [the] usual Buchberger algorithm over the field. ==== Synonyms ==== number field ==== Hypernyms ==== associative algebra extension field ==== Hyponyms ==== cyclotomic field quadratic field ==== Meronyms ==== number ring ring of integers === Further reading === Algebraic number ring on Wikipedia.Wikipedia Algebraic number theory on Wikipedia.Wikipedia