Zmod1 Apr 2026

#MathPost #ModularArithmetic #AbstractAlgebra #TrivialRing #Zmod1

Let’s talk about — the ring of integers modulo 1. 0 × 0 ≡ 0. Wait

🔹 Zmod1 = { [0] } That’s it. One residue class. Zmod1 has only one element? 🤯

If you’ve ever worked with modular arithmetic, you know ℤ/nℤ. But have you ever considered ? 0 × 0 ≡ 0. Wait

🔹 0 + 0 ≡ 0, 0 × 0 ≡ 0.

Wait, Zmod1 has only one element? 🤯