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Describe the Rings

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Describe the rings:

Z[x]/(x2 − 3, 2x + 4), Z[i]/(2 + i) where i2 = −1.

Solution Summary

Solution shows how the rings are described as isomorphic.

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Z[x]/(x^2-3, 2x+4) is isomorphic to GF(4), the field with 4 elements. Let I be the ideal generated by x^2-3 and ...

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• BSc, University of Bucharest
• MSc, Ovidius
• MSc, Stony Brook
• PhD (IP), Stony Brook
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