Saturday, February 11, 2012

Section 5.2

Difficult: It is difficult for me to understand why exactly there is a subring of F[x]/p(x) that is isomorphic to F. I believe I understand the proofs in the chapter for the most part, but this concept is still giving me trouble.

Reflective: I am glad to know that addition and multiplication in the congruences classes in F[x]/p(x) are the same as regular addition and multiplication with polynomials. Also, I think it's interesting that the congruence classes in F[x]/p(x) are even stronger than in Z mod n.

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