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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Representations of skew polynomial algebras


Author: Søren Jøndrup
Journal: Proc. Amer. Math. Soc. 128 (2000), 1301-1305
MSC (1991): Primary 16S35; Secondary 16R20
Published electronically: August 3, 1999
MathSciNet review: 1641638
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Abstract: C. De Concini and C. Procesi have proved that in many cases the degree of a skew polynomial algebra is the same as the degree of the corresponding quasi polynomial algebra. We prove a slightly more general result. In fact we show that in case the skew polynomial algebra is a P.I. algebra, then its degree is the degree of the quasi polynomial algebra.

Our argument is then applied to determine the degree of some algebras given by generators and relations.


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Additional Information

Søren Jøndrup
Affiliation: Mathematics Institute, Universitetsparken 5, DK 2100 Copenhagen Ø, Denmark
Email: jondrup@math.ku.dk

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05148-5
PII: S 0002-9939(99)05148-5
Received by editor(s): March 10, 1998
Received by editor(s) in revised form: June 29, 1998
Published electronically: August 3, 1999
Communicated by: Ken Goodearl
Article copyright: © Copyright 2000 American Mathematical Society