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d-Simple rings and simple [Dscr ]-modules

Published online by Cambridge University Press:  01 January 1999

S. C. COUTINHO
S. C. COUTINHO
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, P.O. Box 68530, 21945-970 Rio de Janeiro, Brazil. e-mail: collier@impa.br
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Abstract

We use certain derivations of a polynomial ring, that do not leave any proper non-zero ideal invariant, to construct simple non-holonomic modules over the nth Weyl algebra. This approach extends to the rings of differential operators of other smooth affine varieties, like smooth quadric surfaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 125 , Issue 3 , January 1999 , pp. 405 - 415
Copyright
Cambridge Philosophical Society 1999

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