Math 2.0

concept

Prime ideal

Summary

A prime ideal of a commutative ring is a proper ideal with the following property. If it contains a product, then it contains one of the factors. The prime ideals of Z\mathbb{Z} are the ideals pZp\mathbb{Z} for pp prime and the zero ideal. The definition of a prime ideal gives the conditions.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Prime_ideal, lead section

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