Trivial Homomorphism
: Consider the ring of real numbers (ℝ, +, ×) and the trivial ring {0} (containing only 0). The trivial homomorphism φ: ℝ → {0} maps every real number to 0: φ(π) = 0, φ(e) = 0, φ(0) = 0, etc. This satisfies the homomorphism properties for both