Let \(\mathbb R[X]\) be the polynomial ring of real coefficients. Then there exists some ideal \(J\) such that the quotient ring \(\mathbb R[X]/J\cong\):

- \((\mathbb R,+,\times)\), the real numbers ring
- \((\mathbb C,+,\times)\), the complex numbers ring
- \((\mathbb H,+,\times)\), the quaternion ring

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