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arXiv · 2007.03094

An analogue of Amitsur's property for the ring of pseudo-differential operators

H. Melis Tekin Akcin
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Abstract

Let R be a ring with a derivation δ. In this paper, we prove that an analogue of Amitsur's property holds for left T-nilpotent radideals of pseudo-differential operator rings R((x^{-1}; δ)), where R is a delta-compatible ring. As a direct consequence of this fact, we obtain an alternative characterization of the prime radical of R((x^{-1}; δ)).

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H. Melis Tekin Akcin. 2020-10-18. An analogue of Amitsur's property for the ring of pseudo-differential operators. https://arxiv.org/abs/2007.03094

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