Balodi, M and Upadhyay, SK (2022) Simplicity of iterated Ore extensions. In: Asian-European Journal of Mathematics, 15 (3).
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Official URL: https://doi.org/10.1142/S1793557122500528
Abstract
Here we study the simplicity of an iterated Ore extension of a unital ring R. We give necessary conditions for the simplicity of an iterated Ore extension when R is a commutative domain. A class of iterated Ore extensions, namely the differential polynomial ring Dn in n-variables is considered. The conditions for a commutative domain R of characteristic zero to be a maximal commutative subring of its differential polynomial ring Dn are given, and the necessary and sufficient conditions for Dn to be simple are also found. © World Scientific Publishing Company.
| Item Type: | Journal Article |
|---|---|
| Publication: | Asian-European Journal of Mathematics |
| Publisher: | World Scientific |
| Additional Information: | The copyright for this article belongs to World Scientific |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Aug 2021 11:36 |
| Last Modified: | 22 Jun 2022 04:31 |
| URI: | https://eprints.iisc.ac.in/id/eprint/69572 |
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