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May 21st, 2018, 11:42 PM   #11
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Originally Posted by cjem View Post
This would suggest the zero ring (the ring with just one element) is a field, which we usually don't want. Some equivalent ways to get around this: 1) define a field to be a commutative ring such that the non-zero elements form a group under multiplication; 2) repeat what you said, but add "non-zero" after "commutative".
See my comment on UK v US usage above.
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May 21st, 2018, 11:44 PM   #12
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Originally Posted by studiot View Post
See my comment on UK v US usage above.
You didn't make a comment. You posted an image from an unnamed source that referred to UK usage but didn't distinguish it from any other country's usage. In case I missed your point or you forgot to make it, can you say what you think the difference is?
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