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What are the idempotents of Z10 under multiplication mod 10

What are the idempotents of Z10 under multiplication mod 10?
What are the idempotents of Z10 under multiplication mod 10?

Solution

For instance Z10 (multiply mod 10) is a direct product Z2

What are the idempotents of Z10 under multiplication mod 10? What are the idempotents of Z10 under multiplication mod 10?SolutionFor instance Z10 (multiply mod

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