Mathematische Zeitschrift

, Volume 191, Issue 1, pp 43–52 | Cite as

Some results on rings with chain conditions

  • Dinh van Huynh


Chain Condition 
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  1. 1.
    Akizuki, Y.: Teilerkettensatz und Vielfachenkettensatz, Proc. Phys. Math. Soc. Japan (3)17, 337–345 (1935)Google Scholar
  2. 2.
    Björk, J.E.: Noetherian and Artinian Chain Conditions for Associative Rings. Arch. Math.24, 366–378 (1973)Google Scholar
  3. 3.
    Fuchs, L., Szele, T.: On artinian rings. Acta Sci. Math. Szeged,17, 30–40 (1956)Google Scholar
  4. 4.
    Huynh, D. van: A note on artinian rings. Arch. Math.33, 546–553 (1979)Google Scholar
  5. 5.
    Huynh, D. van: Some results on linearly compact rings. Arch. Math.44, 39–47 (1985)Google Scholar
  6. 6.
    Huynh, D. van: Über artinsche Ringe, die noethersch sind. Publ. Math. Debrecen23, 23–25 (1976)Google Scholar
  7. 7.
    Huynh, D. van, Kertész, A.: Über linksnoethersche Ringe, die linksartinsch sind. Publ. Math. Debrecen23, 335–337 (1976)Google Scholar
  8. 8.
    Hopkins, C.: Rings with minimal condition for left ideals. Ann. Math.40, 712–730 (1939)Google Scholar
  9. 9.
    Kertész, A.: Noethersche Ringe, die artinsch sind. Acta Sci. Math. Szeged31, 199–221 (1970)Google Scholar
  10. 10.
    Krause, G.: On rings whose injective indecomposable modules are finitely generated. Tôhoku Math. J.22, 333–346 (1970)Google Scholar
  11. 11.
    Murase, I.: A condition for artinian rings to be noetherian. Can. J. Math.30, 830–837 (1978)Google Scholar
  12. 12.
    Leptin, H.: Linear kompakte Moduln und Ringe. Math. Z.62, 241–267 (1955)Google Scholar
  13. 13.
    Leptin, H.: Linear kompakte Moduln und Ringe II. Math. Z.66, 289–327 (1957)Google Scholar
  14. 14.
    Pham N. A.: Die Struktur der im engeren Sinne linear kompakte Ringe. Studia Sci. Math. Hungar.11, 205–210 (1976)Google Scholar
  15. 15.
    Szász, F.: Radikale der Ringe. Budapest 1975Google Scholar
  16. 16.
    Tominaga, H., Murase, I.: A study on artinian rings. Math. J. Okayama Univ.21, 215–223 (1979)Google Scholar
  17. 17.
    Wiegandt, R.: Über halbeinfache linear kompakte Ringe. Studia Sci. Math. Hungar.1, 31–38 (1966)Google Scholar
  18. 18.
    Zelinsky, D.: Linearly compact modules and rings. Amer. J. Math.75, 79–90 (1953)Google Scholar
  19. 19.
    Zelinsky, D.: Rings with ideal nuclei. Duke Math. J.18, 431–442 (1951)Google Scholar
  20. 20.
    Proc. Colloq. Math. Soc. Bolyai, 6. Rings. Modules and Radicals, Amsterdam-London: North Holland 1973Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Dinh van Huynh
    • 1
  1. 1.Institute of MathematicsHanoiVietnam

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