Mathematics · Abstract Algebra
Which of the following mappings φ defines a ring homomorphism from the ring of complex numbers &Complex; to itself (with the usual addition and multiplication)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1φ(z) = Im(z)
- 2φ(z) = |z|
- 3φ(z) = Re(z)
- 4φ(z) = z̄ (complex conjugate)✓
Correct answer
φ(z) = z̄ (complex conjugate)
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