- #1
hammonjj
- 33
- 0
Homework Statement
For which values of n≥2 does the implication:
axb=0 ⇔ a=0 or b=0
For some Zn (n should be a subscript)
NOTE: For the a x b, the x should be the x that has a circle around it. I didn't see that symbol in the "quick symbols" :)
Homework Equations
I know that this is true when n is a prime (answer in back of book), but I don't understand why. For example, if a=5 and b = 4, then that would also be 0 for n=5, right? Do I just not understand how to do modular arithmetic?
Thanks!