Saturday, October 8, 2016

5.1, due on October 10

1. The hardest part for me was remembering that associates aren't essentially identical in congruence classes the way they are in factoring.  If we're dealing with the congruence class [ (7/9)x + 2 ], we can't multiply by 9 to clear the fractions or multiply by 9/7 to make it monic, since those would be different congruence classes.

2.  I thought it was really cool how easily results from Z mod n translate to F[x] / (p(x)).  Only one of the theorems (Corollary 5.5) had to make any changes, and they were very minor.

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