🔹 0 + 0 ≡ 0, 0 × 0 ≡ 0.
Wait, Zmod1 has only one element? 🤯
#MathPost #ModularArithmetic #AbstractAlgebra #TrivialRing #Zmod1 🔹 0 + 0 ≡ 0, 0 × 0 ≡ 0
🔹 Two integers are congruent mod 1 if their difference is divisible by 1 — which is always true. So every integer is equivalent to 0 . 🔹 0 + 0 ≡ 0