Recent content by corkycorey101

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    MHB How Do You Find the Multiplicative Inverse in \( Z_{360}[x] \)?

    How would you find the multiplicative inverse of the following? Let $R=Z_{360}[x]$ Find the multiplicative inverse of $f(x)=30x^4+120x^2+240x+7$ in $R$. Do you have to solve it using the Euclidean Algorithm? If so, I'm not sure how to do that. This problem has me stumped. Any help is much...
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    MHB Understanding Rings: Example of Homomorphism/Isomorphism

    Oh wow, that was easier than I thought. I was way over thinking it. Thank you so much!
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    MHB Understanding Rings: Example of Homomorphism/Isomorphism

    Can you give an example of two rings R and S, and a function f:R⟶S such that f(ab)=f(a)f(b) for all a,b ∈ R, but f(a+b)≠f(a)+f(b) for some a,b ∈ R. I know that it has to do with proving homomorphisms/isomorphisms but am confused how to come up with the actual example.