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Abstract Algebra: Isomorphic polynomial rings
Well basically this is an assignment turned in that got a "redo". As you can probably tell, I'm so confused in this subject I don't even know how to begin to correct it...thanks for the input so far- katarinab316
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- Forum: Calculus and Beyond Homework Help
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Abstract Algebra: Isomorphic polynomial rings
Homework Statement If F is an infinite field, prove that the polynomial ring F[x] is isomorphic to the ring T of all polynomial functions from F to F Homework Equations The Attempt at a Solution T is isomorphic to F[x] f(a+b) = f(a) + f(b) f(ab)=f(a)f(b) It is surjective by...- katarinab316
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- Abstract Abstract algebra Algebra Polynomial Rings
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- Forum: Calculus and Beyond Homework Help