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arxiv: math/0411046 · v1 · submitted 2004-11-02 · 🧮 math.RA

On primitive ideals in polynomial rings over nil rings

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keywords idealspolynomialprimitiveringringsformindeterminateprove
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Let R be a nil ring. We prove that primitive ideals in the polynomial ring R[x] in one indeterminate over R are of the form I[x] for some ideals I of R.

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