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Modules over Crossed Products

✍ Scribed by A. Jaikin-Zapirain

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
194 KB
Volume
215
Category
Article
ISSN
0021-8693

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✦ Synopsis

left ideal of the Weyl algebra A K over a field K of characteristic 0 can be n generated by two elements. In general, there is the problem of determining whether any left ideal of a Noetherian simple domain can be generated by two elements. In this work we show that this property holds for some crossed products of a simple ring with a supersolvable group and also for the tensor product of generalized Weyl algebras. We also prove that these rings are stably generated by 2 elements and that their finitely generated torsion left modules can be generated by two elements. Some results about stably 2-generated rings were found by Ε½ .

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