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To be fair, you can have a field that only has integers. For example, Z mod 5 is a field.
by Koshkin 7y ago
To be fair, you can have a field that only has integers. For example, Z mod 5 is a field.
- carloswilson 7y agoI am aware. It is typically represented as Z_5. They are called prime fields. I highly doubt wsxcde meant prime fields in their comment though. wsxcde seemed to be talking about the set of all integers and the set of all real numbers in their comment. Only the latter is a field (and a ring) whereas the former is only a ring. And (-a)(-b) = ab holds in rings (and thus fields).