Mathematics · Group Theory
Let (X, ) be a semigroup. Furthermore, for every a and b in X, if a ≠ b, then ab ≠ ba. Based on this defined semigroup, which of the following equalities hold true? A. For every a in X, aa = a B. For every a, b in X, aba = a C. For every a, b, c in X, abc = ac
- 1A and B only
- 2A and C only
- 3B and C only
- 4A, B and C✓
Correct answer
A, B and C
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