- algebraically closed fieldmathematics
noun (common) (futsuumeishi)
Forms
Generated definitions (experimental)
- algebraically closed field
This term is used in mathematics to refer to a field in which every non-constant polynomial has a root. It is a foundational concept in algebraic geometry and abstract algebra.
The concept of an algebraically closed field is important in algebraic geometry because every non-constant polynomial has a root.
Generated collocations (experimental)
だいすうへいたい代数閉体であるto be an algebraically closed fieldだいすうへいたい代数閉体のかくだい拡大extension of an algebraically closed fieldだいすうへいたい代数閉体のせいしつ性質properties of an algebraically closed fieldだいすうへいたい代数閉体のれい例examples of algebraically closed fieldsだいすうへいたい代数閉体へのうめこみ埋め込みembedding into an algebraically closed fieldだいすうへいたい代数閉体のいそう位相こうぞう構造topological structure of an algebraically closed fieldだいすうへいたい代数閉体におけるたこうしき多項式polynomials over an algebraically closed fieldだいすうへいたい代数閉体のどうけい同型isomorphism of algebraically closed fieldsだいすうへいたい代数閉体のていぎ定義definition of an algebraically closed fieldだいすうへいたい代数閉体のりろん理論theory of algebraically closed fields