Can anyone help with the following problem:

Prove that the rings and are not isomorphic?

Be grateful for help

Peter

Printable View

- September 8th 2011, 05:42 AMBernhardRing Isomorphism
Can anyone help with the following problem:

Prove that the rings and are not isomorphic?

Be grateful for help

Peter - September 8th 2011, 05:48 AMHallsofIvyRe: Ring Isomorphism
How many members does ? What about ?

- September 8th 2011, 05:53 AMBernhardRe: Ring Isomorphism
2Z = { ... -4.-2, 0, 2, 4, 6, ....} so it is infinite

3Z = { ... -6. -3, 0, 3, 6, .... } so it is infinite

... or have I got something wrong?

Peter - September 8th 2011, 06:51 AMzoekRe: Ring Isomorphism
- September 8th 2011, 08:20 AMHallsofIvyRe: Ring Isomorphism
Sorry, I was thinking "

**modulo**2 and 3". zoek has it right. - September 8th 2011, 04:55 PMBernhardRe: Ring Isomorphism
No problems. Thanks anyway

And thanks for help with previous posts as well!

Peter