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Let (= e²mi/3 = −¹+√-3 EC and consider the ring 2 Z[S] = {a + bc | a,b ≤ Z}. (a) Define a ring homomorphism y: Z[S] → Z/
Posted: Mon Jul 11, 2022 12:01 pm
by answerhappygod
- Let E Mi 3 3 Ec And Consider The Ring 2 Z S A Bc A B Z A Define A Ring Homomorphism Y Z S Z 1 (88.66 KiB) Viewed 42 times
Let (= e²mi/3 = −¹+√-3 EC and consider the ring 2 Z[S] = {a + bc | a,b ≤ Z}. (a) Define a ring homomorphism y: Z[S] → Z/7Z. Prove that your function is a ring homomorphism. (b) Determine the kernel of the homomorphism you constructed in the previous part. Give your answer in the form of an ideal generated by the minimum possible number of gener- ators this ideal can have.