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

Bullying

... Bullying Tyrant is a term for someone with absolute governmental power, from the Greek language turannos. In Classical Antiquity[?] it did not always have inherently ...