Encyclopedia > Splitting field

Article Content

Splitting field

In abstract algebra, the splitting field of f in E is the smallest subfield[?] of E containing F and all the roots <math>\alpha_1</math>, <math>\alpha_n</math>, ..., <math>\alpha_n</math> of a polynomial f of degree n.

This is noted <math>F(\alpha_0, \alpha_2, ..., \alpha_n)</math>.

All Wikipedia text is available under the terms of the GNU Free Documentation License

Search Encyclopedia

Search over one million articles, find something about almost anything!

Featured Article

French resistance

... of the French communist party[?] in May 1942. Leader Pierre Villon[?] (Not to be confused with the current political party Front National in France that is right-wing ...