My textbook says:(adsbygoogle = window.adsbygoogle || []).push({});

If u is transcnedetal over F, it is routine to verify that:

F(u) = {f(u)g(u)^(-1) | f,g in F[x]; g /= 0}

However, me being the scrubbiest of all scrubs does not understand what they did here.

First of all, I don't understand why they needed to invert the g(u) function.

It goes on to say that F(u) is isomorphic to F(x), the field of quotients of the integral domain F[x].

Can somebody shed some light on this stuff for me?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Basic transcendental field extension question

Loading...

Similar Threads - Basic transcendental field | Date |
---|---|

Least Square basic problem | Jan 20, 2018 |

I Basic Notation for Field Extensions ... | Apr 10, 2017 |

I Basics of Field Extensions ... ... Ireland and Rosen, Ch 12 | Mar 30, 2017 |

I Using determinant to find constraints on equation | Jan 15, 2017 |

New irrational number to develop transcendental operators | Dec 27, 2013 |

**Physics Forums - The Fusion of Science and Community**