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Simplicity of iterated Ore extensions

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


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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