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Some aspects of noncommutative noetherian rings

Part of the Lecture Notes in Mathematics book series (LNM,volume 545)

Keywords

  • Prime Ideal
  • Minimal Element
  • Critical Module
  • Noetherian Ring
  • Primary Decomposition

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References

  1. P. Gabriel, Des catégoies abéliennes, Bull. Soc. Math. France 90 (1962), 323–448.

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  2. R. Gordon, Gabriel and Krull dimension, in “Ring Theory” (B. R. McDonald, A. R. Magid, K. C. Smith, Eds.), Lecture Notes in Pure and Applied Math. 7, Marcel Dekker, New York (1974), 241–295.

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  3. R. Gordon, Artinian quotient rings of FBN rings, J. Algebra 35 (1975), 304–307.

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  4. R. Gordon, Primary decomposition in right noetherian rings, Communications in Algebra 2 (1974), 491–524.

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  5. R. Gordon and E. L. Green, A representation theory for noetherian rings, J. Algebra, to appear.

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  6. R. Gordon and J. C. Robson, Krull dimension, Memoirs Amer. Math. Soc. 133 (1974).

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  7. A. V. Jategaonkar, Jacobson's conjecture and modules over fully bounded noetherian rings, J. Algebra 30 (1974), 103–121.

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  8. A. V. Jategaonkar, Injective modules and localization in non-commutative noetherian rings, Trans. Amer. Math. Soc. 188 (1974), 109–123.

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© 1976 Springer-Verlag

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Gordon, R. (1976). Some aspects of noncommutative noetherian rings. In: Cozzens, J.H., Sandomierski, F.L. (eds) Noncommutative Ring Theory. Lecture Notes in Mathematics, vol 545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080307

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  • DOI: https://doi.org/10.1007/BFb0080307

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07985-9

  • Online ISBN: 978-3-540-37983-6

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