So we know some of the irreducibility criteria when we have one dimension X.(adsbygoogle = window.adsbygoogle || []).push({});

But what about multidimensional abstract algebra?

From Dummit Foote, we get that we can pair up every power of X with the powers of Y that happen to be associated with that power of X, and then treat those powers of Y as coefficients of X. Do we then use the same steps that we use in our standard irreducibility criterion? (other than the division by the ideal (xy) - which can lead to degenerate cases?)

**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!

# Irreducibility in multiple dimensions

Loading...

Similar Threads - Irreducibility multiple dimensions | Date |
---|---|

B Associativity of Matrix multiplication | Jun 9, 2017 |

I Irreducibles and Primes in Integral Domains ... | Apr 5, 2017 |

I Quadratic Polynomials and Irreducibles and Primes ... | Apr 2, 2017 |

I Definition of an irreducible element in an integral domain | Feb 18, 2017 |

Completeness and orthogonality of unitary irreducible representations | Feb 15, 2016 |

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