algebraic number field

Noun

 * 1)  A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers.
 * 2) * 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, 4151, page 99,
 * If the operations over an algebraic number field are provided, we can apply [the] usual Buchberger algorithm over the field.
 * 1) * 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, 4151, page 99,
 * If the operations over an algebraic number field are provided, we can apply [the] usual Buchberger algorithm over the field.
 * If the operations over an algebraic number field are provided, we can apply [the] usual Buchberger algorithm over the field.