A Visualization of Constructing the Integers Mod 5
This video shows how to construct the group (ℤ/5ℤ, +) by starting with the integers and taking the quotient by multiples of 5. It was made for the article in the link below. Note that the cosets are denoted with square brackets, so
[1] = { ..., -9, -4, 1, 6, 11, ... } = { 1 + 5n | n ∈ ℤ } = 1 + 5ℤ
Ideals, Quotient Rings, and Fields: https://joseph-mellor1999.medium.com/...