A proof of a conjecture about summing the absolute value (mod p)
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SOLVED: (2) Let n € N: In Z we define the remainder classes modulo n as [KJn := k+nz:k+m-n:mez for allk €zas well as the relation T3V mod n n teilt 1 -
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Define a binary operation * on the set A={1,2,3,4} as a*b=a b (mod 5). Show that 1 is the identity for * and all elements of the set A are invertible with2^(-1)=3 and 4^(-1)=4
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