Mathematics · Group Theory
A monoid (M, *) with identity element 'e' is called a group if for every element 'a' in M, there exists an element 'c' in M such that:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(a * a) = a = (a + c)
- 2(a * c) = (a + c)
- 3(a + c) = a
- 4(a * c) = (c * a) = e✓
Correct answer
(a * c) = (c * a) = e
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