Generalized Weyl algebras and diskew polynomial rings
نویسنده
چکیده
The aim of the paper is to extend the class of generalized Weyl algebras to a larger class of rings (they are also called 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 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. Mathematics subject classification 2010: 16D30, 16P40, 16D25, 16P50, 16S85.
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تاریخ انتشار 2016