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Let A be the set of 2 6 letters of the alphabet. Let B be the numbers from 0 to 2 5 . A simple

Let A be the set of 26 letters of the alphabet. Let B be the numbers from 0 to 25. A simple code might replace each letter with the number corresponding to its index in the list. The function from letters to their numbers would have type
c :
A shift of 3 in this code might add 3 to each output wrapping around. This can be done with modular arithmetic as s(i)=(i+3)mod26.
What is the type of s?
s :
The shifted code could be written as the following composition of s and c.
g=
All of the functions described here are bijections. What is s-1?
s-1(i)=i+,mod,.
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