Bavula, V.V. (2019) Generalized Weyl algebras and diskew polynomial rings. Journal of Algebra and Its Applications. ISSN 0219-4988
Abstract
The aim of the paper is to extend the class of generalized Weyl algebras (GWAs) to a larger class of rings (they are also called GWAs) that are determined by two ring endomorphisms rather than one as in the case of ‘old’ GWAs. A new class of rings, the diskew polynomial rings, is introduced that is closely related to GWAs (they are GWAs under a mild condition). Simplicity criteria are given for GWAs and diskew polynomial rings.
Metadata
Authors/Creators: |
|
---|---|
Copyright, Publisher and Additional Information: | © 2019 World Scientific Publishing Co Pte Ltd. This is an author-produced version of a paper subsequently published in Journal of Algebra and Its Applications. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | The generalized Weyl algebra; the diskew polynomial rings; simple module; localization; torsion module |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 01 Dec 2017 16:16 |
Last Modified: | 22 Oct 2020 00:38 |
Status: | Published online |
Publisher: | World Scientific Publishing |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1142/S0219498820501947 |
Related URLs: |