๐Ÿ”น Two integers are congruent mod 1 if their difference is divisible by 1 โ€” which is always true. So every integer is equivalent to 0 .

๐Ÿ”น This is the trivial ring โ€” the only ring (up to isomorphism) where 1 = 0.

๐Ÿ”น Zmod1 = { [0] } Thatโ€™s it. One residue class.

Zmod1 -

๐Ÿ”น Two integers are congruent mod 1 if their difference is divisible by 1 โ€” which is always true. So every integer is equivalent to 0 .

๐Ÿ”น This is the trivial ring โ€” the only ring (up to isomorphism) where 1 = 0. ๐Ÿ”น Two integers are congruent mod 1 if

๐Ÿ”น Zmod1 = { [0] } Thatโ€™s it. One residue class. ๐Ÿ”น Two integers are congruent mod 1 if