Recent content by cagoodm

  1. C

    Is Y a Surjective Ring Homomorphism?

    Homework Statement Let T be the ring of all continuous functions from the closed interval [0,1] to R. Define a function Y: T-->R by Y(f) = f(1) Prove that Y is a surjective ring homomorphism. Is Y an isomorphism? Prove your answer is correct.I honestly just don't understand what this is...
  2. C

    Is R Isomorphic to S? Finding an Explicit Isomorphism

    Homework Statement Determine whether R is isomorphic to S for each pair of rings given. If the two are isomorphic, find an explicit isomorphism (you do not need to show the formal proof). If not, explain why. Homework Equations R= 2x2 matrix, a 0, 0 b, for some integers a,b S= Z x Z...