- #1
Punkyc7
- 420
- 0
Determine if the canonical map Z to Zsubscript5 is 1-1 and onto. Prove your answer
Im not sure how to prove it but I am almost positive that its onto and not 1-1. I believe it onto because Z contains all the integers and Zsubscript5 contain the equivalence classes [0] [1] [2] [3] [4]. I don't believe that its 1-1 because 0 and 5 get mapped onto [0]
Im not sure how to prove it but I am almost positive that its onto and not 1-1. I believe it onto because Z contains all the integers and Zsubscript5 contain the equivalence classes [0] [1] [2] [3] [4]. I don't believe that its 1-1 because 0 and 5 get mapped onto [0]