What is the cartesian product of Z2 x Z3? - what i mean here is Zsub2 and Zsub3?

Question

thank you doc b it will be a big help if you answer this! hehhe.. mwah! thanks!

Answer 1

ℤ₂={0, 1}
ℤ₃={0, 1, 2}
ℤ₂×ℤ₃ = {(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)}

(just in case the unicode doesn't show up, those are Z_2, Z_3, and Z_2×Z_3, respectively. Let me know how it looks on your system.)

Answer 2

Another note is that it's isomorphic to Z6. Try to find an isomorphism.