Question: let G = {e, a, b} be a cyclic group of order 3 with identity element e. Write the element in the group algebra Z

let G = {e, a, b} be a cyclic group of order 3 with identity element e. Write the element in the group algebra Z₅G in the form re + sa + tb for r, s, t ∈ Z₅. (2e + 3a + 0b)+(4e + 2a + 3b)

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