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Radicals and chain conditions

Part of the Lecture Notes in Mathematics book series (LNM,volume 825)

Keywords

  • Left Ideal
  • Prime Ring
  • Homomorphic Image
  • Chain Condition
  • Semiprime Ring

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References

  1. E.P. Armendariz, Rings with an almost noetherian ring of fractions, Math. Scand. 41, (1977), 15–18.

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  2. R. Gilmer and M. O’Malley, Non-noetherian rings for which each proper subring is noetherian, Math. Scand. 31 (1972), 118–122.

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  3. J. Hausen and J.A. Johnson, A non-commutative minimally non-noetherian ring, Math. Scand. 36 (1975), 313–316.

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  4. I.N. Herstein and L. Small, Nil rings satisfying certain chain conditions, Can. J. of Math. 16 (1964), 771–776.

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  5. W.G. Leavitt and L.C.A. van Leeuwen, Rings isomorphic with all proper factor-rings, Proc. 1978 Antwerp Conf., Ring theory, Marcel Dekker Inc. pp.783–798.

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  6. J.F. Watters, Non-commutative minimally non-noetherian rings, Math. Scand. 40 (1977), 176–182.

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© 1980 Springer-Verlag

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van Leeuwen, L.C.A. (1980). Radicals and chain conditions. In: van Oystaeyen, F. (eds) Ring Theory Antwerp 1980. Lecture Notes in Mathematics, vol 825. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089128

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  • DOI: https://doi.org/10.1007/BFb0089128

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10246-5

  • Online ISBN: 978-3-540-38334-5

  • eBook Packages: Springer Book Archive