Homework SourseSuppose a b Z6 and a b 0 Is it necessarily true that eithe
Suppose [a], [b] Z6 and [a] · [b] = [0]. Is it necessarily true that either [a] = [0] or [b] = [0]?
Solution
No this is not true
Counter Example
[x] denotes equivalence class containing x
[a]=[2]
[b]=[3]
[2].[3]=[0] in Z6
![Suppose [a], [b] Z6 and [a] · [b] = [0]. Is it necessarily true that either [a] = [0] or [b] = [0]?SolutionNo this is not true Counter Example [x] denotes equiv](/WebImages/10/suppose-a-b-z6-and-a-b-0-is-it-necessarily-true-that-eithe-1003955-1761517374-0.webp "Suppose [a], [b] Z6 and [a] · [b] = [0]. Is it necessarily true that either [a] = [0] or [b] = [0]?SolutionNo this is not true Counter Example [x] denotes equiv")
