Z[x]的素理想与Krull维数
Prime Ideals and Krull Dimension of Z[x]
摘要:
本文用初等方法考虑一元多项式环
Z[x]上的素理想、极大理想。进而得到
Z[x]的Krull维数为2。
Abstract:
Using elementary method, we get all the prime ideals of integral domain Z[x] , which give an ex-plicit proof of a result in Mumford’s red book. We get the Krull dimension 2 of Z[x] by direct computation as a by-product.
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