There are two inverses: additive and multiplicative.
You are confusing them.
Here is a corrected version of what you said . . .
From the definition, it says that Let and . An integer such that is an Inverse of
From how I interpret it, it is...
Inverse of , where . Is this right?
So if I have , The normal . Inverse
Then it says that , does it mean and so when , the remainder is 1? But it doesn't look like it.
I am very confused with the notation and how this whole inverse of modulus work.