On cyclic essential extensions of simple modules over differential operator rings
Rings and Algebras
2017-04-18 v1
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.
Keywords
Cite
@article{arxiv.1704.04970,
title = {On cyclic essential extensions of simple modules over differential operator rings},
author = {Alveri Sant'Ana and Robson Vinciguerra},
journal= {arXiv preprint arXiv:1704.04970},
year = {2017}
}