Mathematics · Abstract Algebra
Which of the following statements are correct regarding the identity element in algebraic structures? 1. The identity element in a binary structure is unique. 2. An element 'e' acts as the identity in a binary structure if e * s = s * e = s for all elements 's' in the set. 3. A binary structure can possess multiple distinct identity elements. 4. The identity element of a group maps to the identity element of the target group under a homomorphism. Choose the correct option:
- 11, 3 and 4 Only
- 21, 2 and 3 Only
- 32, 3 and 4 Only
- 41, 2 and 4 Only✓
Correct answer
1, 2 and 4 Only
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