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Ore localization in the first Weyl algebra

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1448)

Keywords

  • Simple Module
  • Composition Factor
  • Quotient Ring
  • Weyl Algebra
  • Torsion Theory

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References

  1. R.E. Block, The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra, Advances in Math. 39 (1981), 69–110.

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  2. J. Dixmier, Sur les algèbres de Weyl, Bull. Soc. Math. France 96 (1968), 209–242.

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  3. J.S. Golan, Localization of Noncommutative Rings, Marcel Dekker Inc. (1975).

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  4. K.R. Goodearl, Linked injectives and Ore localizations, J. London Math. Soc. 37 (1988), 404–420.

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  5. J.C. McConnell and J.C. Robson, Homomorphisms and extensions of modules over certain differential polynomial rings, J. Algebra 26 (1973), 319–342.

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  6. J.C. McConnell and J.C. Robson, Noncommutative Noetherian rings, John Wiley and Sons (1987).

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  7. B. Stenström, Rings of quotients, Springer (1975).

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  8. Y.L. Zhang, Ore localizations and irreducible representations of the first Weyl algebra, Ph.D. thesis, McMaster University (1990).

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© 1990 Springer-Verlag

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Müller, B.J., Zhang, YL. (1990). Ore localization in the first Weyl algebra. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091259

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  • DOI: https://doi.org/10.1007/BFb0091259

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53164-7

  • Online ISBN: 978-3-540-46745-8

  • eBook Packages: Springer Book Archive