Can someone help me get started. I start by assuming 1-1 and know that i go the other direction, but can't seem to see how to use 1-1 to show anything...Thanks in advance.
Theorem:
Let be a ring homomorphism. Show that is 1-1 iff is trivial
Can someone help me get started. I start by assuming 1-1 and know that i go the other direction, but can't seem to see how to use 1-1 to show anything...Thanks in advance.
Theorem:
Let be a ring homomorphism. Show that is 1-1 iff is trivial
1-1 is trivial
Since for any ring, , 1-1 nature of forces 0 to be the only number of R to map to the 0 of S. Thus only for x=0. Hence is trivial