Understand the problem
Source of the problem
Start with hints
Then we have to find the number of ring homomorphism from to . How many elements does the ring have?
. It is not a field but it has elements as .
Now what is the next move?
Hence, if one counts the number of elements in , the number of homomorphisms you want is just the square.
Now, has elements.
So, the number of ring homomorphisms is .
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