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
East Marion, New York

... to the United States Census Bureau, the town has a total area of 5.8 km² (2.2 mi²). 5.4 km² (2.1 mi²) of it is land and 0.3 km² (0.1 mi²) ...

 
 
 
This page was created in 27.4 ms