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arXiv · 1704.04970

On cyclic essential extensions of simple modules over differential operator rings

Alveri Sant'Ana·Robson Vinciguerra
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Abstract

In this paper we discuss under which conditions cyclic essential extensions of simple modules over a differential operator ring R[z;d] are Artinian. In particular, we study the case when R is either d-simple or d-primitive. Furthermore, we obtain important results when R is an affine algebra of Kull dimension 2. As an application we characterize the differential operator rings C[x,y][z;d] for which cyclic essential extensions of simple modules are Artinian.

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Alveri Sant'Ana, Robson Vinciguerra. 2017-04-17. On cyclic essential extensions of simple modules over differential operator rings. https://arxiv.org/abs/1704.04970

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