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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Solutions to two questions about the Weyl algebras
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by V. Bavula PDF
Proc. Amer. Math. Soc. 133 (2005), 1587-1591 Request permission

Abstract:

Affirmative answers are given to the following two questions about the Weyl algebras: a question of J. Alev: Does the first Weyl algebra contain a non-noetherian subalgebra?, and a question of T. Lenagan: Is there a uniserial module $M$ of length $2$ over the Weyl algebra $A_n$ with a holonomic submodule $U$ such that $V=M/U$ is non-holonomic?
References
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Additional Information
  • V. Bavula
  • Affiliation: Department of Pure Mathematics, University of Sheffield, Hicks Building, Sheffield S3 7RH, England
  • MR Author ID: 293812
  • Email: v.bavula@sheffield.ac.uk
  • Received by editor(s): December 20, 2003
  • Received by editor(s) in revised form: February 13, 2004
  • Published electronically: December 6, 2004
  • Communicated by: Martin Lorenz
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 1587-1591
  • MSC (2000): Primary 16S32, 16P40, 16W50, 16W70
  • DOI: https://doi.org/10.1090/S0002-9939-04-07673-7
  • MathSciNet review: 2120268