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

Photosynthesis

... production of oxygen It is interesting to note that the oxygen released during photosynthesis is not in fact derived from the carbon dioxide, but rather from the ...