Example 4. Let R = Z(p). This is in fact a discrete valuation domain, and therefore, its maximal ideal P = pR is strongly prime. But pR[x] is not strongly prime in R[x] because it is not comparable with xR[x] (so the condition of being
Other ID | JA92FD96EP |
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Journal Section | Articles |
Authors | |
Publication Date | December 1, 2009 |
Published in Issue | Year 2009 Volume: 6 Issue: 6 |