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arXiv · 1612.08941

Generalized Weyl algebras and diskew polynomial rings

V. V Bavula
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Abstract

The aim of the paper is to extend the class of generalized Weyl algebras to a larger class of rings (they are also called {\em generalized Weyl algebras}) that are determined by two ring endomorphisms rather than one as in the case of `old' GWAs. A new class of rings, the {\em diskew polynomial rings}, is introduced that is closely related to GWAs (they are GWAs under a mild condition). The, so-called, ambiskew polynomial rings are a small subclass of the class of diskew polynomial rings. Semisimplicity criteria are given for generalized Weyl algebras and diskew polynomial rings.

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V. V Bavula. 2016-12-28. Generalized Weyl algebras and diskew polynomial rings. https://arxiv.org/abs/1612.08941

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