1) When it talks about the properties of multiplication in modular arithmetic, it gives names of different rules (i.e. closure for multiplication, associative multiplication, distributive laws, etc.). However, it doesn't give a name for #11: ab=0, then a=0 or b=0. Is there a name for that? And why does this property hold for Z5 and fail for Z6?
2) It's interesting to see that even exponents in Zn are the same, but I guess it makes sense since multiplication and addition are the same.
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