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Let $J$ fulfil the following conditions:
- $(1): \quad n, m \in J \implies m + n \in J, m - n \in J$
- $(2): \quad n \in J, r \in \Z \implies r n \in J$
Then $J$ is an integral ideal.
- Definition:Ideal of Ring, of which this is a particular instance
- Integral Ideal is Ideal of Ring which demonstrates that fact
- Results about integral ideals can be found here.