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🔹 Two integers are congruent mod 1 if their difference is divisible by 1 — which is always true. So every integer is equivalent to 0 .

If you’ve ever worked with modular arithmetic, you know ℤ/nℤ. But have you ever considered ? 🔹 Two integers are congruent mod 1 if

Wait, Zmod1 has only one element? 🤯

🔹 This is the trivial ring — the only ring (up to isomorphism) where 1 = 0. 0 × 0 ≡ 0.

#MathPost #ModularArithmetic #AbstractAlgebra #TrivialRing #Zmod1 🔹 Two integers are congruent mod 1 if

🔹 0 + 0 ≡ 0, 0 × 0 ≡ 0.