Math 2.0

Commutative algebra Basic notions Concept

Coprime ideals

Summary

Two ideals of a ring are coprime when their sum is the whole ring. For the integers, the ideals (m)(m) and (n)(n) are coprime exactly when mm and nn are coprime numbers. The definition of coprime ideals gives the condition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Chinese_remainder_theorem, Generalization to arbitrary rings
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