slove Set Z is an abelian group under addition and semi group under multiplication??
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The sets Z, Q, R or C with ∗ = + and e = 0 are abelian groups. Example 3.3. The set Q∗, (or R∗ or C∗) of nonzero rational (or real or com- plex) numbers with ∗ = · (multiplication) and e = 1 is an abelian group. ... Z can be replaced by Q, R or C and these examples are probably familiar from linear algebra.
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