Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Determine whether the given polynomial quotient ring R is a field or not. If R is a field,
provide a proof. If not, provide a counterexample.
(a) R = Z3[x] / (x3 + 2x2 + x + 1)
(b) R = Z5[x] / (2x3 − 4x2 + 2x + 1)
(c) R = Z2[x] / (x4 + x2 + 1)
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