 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-101/5/c/ii/solution

A

h_{A} (X) \in Q [X]

such that

h_{A} (n) = dim_{k} A_{n}

for every sufficiently large integer

n

. Eventual equality makes this polynomial unique.

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