The wikipedia page is rather comprehensive: https://en.wikipedia.org/wiki/Chinese_remainder_theorem https://en.wikipedia.org/wiki/Chinese_remainder_theorem It

The wikipedia page is rather comprehensive: https://en.wikipedia.org/wiki/Chinese_remainder_theorem https://en.wikipedia.org/wiki/Chinese_remainder_theorem It also covers the straightforward generalization of the theorem to principal ideal domains (e.g. polynomials over a field)