Mathematics · Abstract Algebra
Which of the following algebraic structures forms a group?
- 1(Z, *), where a * b = a - b for all a, b ∈ Z
- 2(R+, *), where a * b = ab for all a, b ∈ R+✓
- 3(R-, *), where a * b = a - b for all a, b ∈ R-
- 4(Z, *), where a * b = ab for all a, b ∈ Z
Correct answer
(R+, *), where a * b = ab for all a, b ∈ R+
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