I'm trying to prove this problem out of Allan Clark's Elements of abstract algebra.(adsbygoogle = window.adsbygoogle || []).push({});

Given an epimorphism [tex]\phi[/tex] from R -> R'

Prove that:

[tex]\phi^{-1}[/tex](a'b') = ([tex]\phi^{-1}[/tex]a')([tex]\phi^{-1}[/tex]b')

where a' and b' are ideals of R'

I had no trouble showing that ([tex]\phi^{-1}[/tex]a')([tex]\phi^{-1}[/tex]b') is a subset of [tex]\phi^{-1}[/tex](a'b'). But I'm having trouble with the forward direction. I'd appreciate any help/hints. Thanks.

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

Join Physics Forums Today!

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

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

# Help with identity for ideals

Loading...

Similar Threads for Help identity ideals | Date |
---|---|

B Help understanding a proof | Jun 8, 2017 |

<help> loockwood's identity | Jan 27, 2012 |

I've never felt dumber: please help me understand Fibonacci identity. | Oct 18, 2010 |

Help with Fibonacci Identity | Jan 30, 2007 |

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