Algebra I — autumn 2024 — Homework 10
1. Prove that { a + b ■ \/2 + c • 1 ■ i | a, b, c, d G Q } is a subring of the ring (C, +, •).
2. Find all ring homomorphisms from
({a + b-V2 + c-i + d-V2-i\a,b,c,deQ},+,-) to (C, +, •). Decide which of them are injective.