The reading was fairly easy, because almost all the theorems were just previous congruence class arithmetic theorems applied to polynomial congruence class arithmetic. I guess the hardest part was really understanding corollary 5.5 and its implications.
In reflecting on the subject material, I just think about how complicated some of this arithmetic could potentially become. Especially if you consider rings of the form Z_n[x]/(p(x)) and have to kinds of modular arithmetic going on. Or what if you used that kind of ring to form another polynomial ring to make something like (Z_n[x]/(p(x)))[x]...
Monday, February 9, 2009
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