Can anyone help with the following problem: Prove that the rings and are not isomorphic? Be grateful for help Peter
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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
Originally Posted by Bernhard Can anyone help with the following problem: Prove that the rings and are not isomorphic? Be grateful for help Peter Let be a ring isomorphism. Then . Thus , . Therefore and . So, or . means , so , which means that is not an isomorphism, and with is Absurd. So, the rings and are not isomorphic.
Sorry, I was thinking " modulo 2 and 3". zoek has it right.
No problems. Thanks anyway And thanks for help with previous posts as well! Peter
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