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Original Articles

On the Loewy Length and the Noetherian Dimension of Artinian Modules

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Pages 1077-1084 | Received 01 Dec 1999, Published online: 26 Dec 2007

References

  • Fuchs , L. 1970 . Torsion Preradical and Ascending Loewy Series of Modules . J. Reine und Angew. Math. , 239 : 169 – 179 .
  • Goodearl , K. R. and Warfield , R. B. Jr. 1989 . An Introduction to Non-Commutative Noetherian Rings; , Cambridge Univ. press .
  • Gordon , R. and Robson , J. C. 1973 . Krull-Dimension . Mem. Amer. Math. Soc. , : 133
  • Karamzadeh , O. A. S. 1974 . Noetherian-Dimension , Ph.D. Thesis Exeter .
  • Karamzadeh , O. A. S. 1982 . When are Artinian Modules Countably Generated? . Bull. Iran. Math. Soc. , 9 : 171 – 176 .
  • Karamzadeh , O. A. S. and Motamedi , M. 1994 . On α-Dicc modules . Comm. Algebra , 22 : 1933 – 1944 .
  • Karamzadeh , O. A. S. and Motamedi , M. 1995 . A-Noetherian and Artinian modules . Comm. Algebra , 23 : 3685 – 3703 .
  • Kirby , D. 1973 . Artinian Modules and Hilbert Polynomials . Quart. J. Math. Oxford (2) , 24 : 47 – 57 .
  • Kirby , D. 1990 . Dimension and Length for Artinian Modules . Quart. J. Math. Oxford, (2) , 41 : 419 – 429 .
  • Krause , G. 1972 . On the Krull-Dimension of Left Noetherian Rings . J. Algebra , 23 : 88 – 99 .
  • Lemonnier , B. 1972 . Deviation des ensembless et groupes Abeliens Totalement Ordonnes . Bull. Sci. Math , 96 : 289 – 303 .
  • Matlis , E. 1960 . Modules with Descending Chain Condition . Trans. Amer. Math. Soc , 97 : 495 – 508 .
  • Roberts , R. N. 1975 . Krull-Dimension for Artinian Modules over Quasi Local Commutative Rings . Quart. J. Math. Oxford, (3) , 26 : 269 – 273 .
  • Sharp , R. Y. . A Method for the Study of Artinian Modules with an Application to Asymptotic Behavior . Proceeding of Micro-Program (Commutative Algebra) . pp. 443 – 464 . Springer-Verlag .
  • Vamos , P. 1969 . The Dual of the Notion of “Finitely Generated” . J. Lon. Math. Soc , 43 : 642 – 649 .
  • Wisbauer , R. 1991 . Foundations of Modules and Ring Theory , Reading : Gordon and Breach .

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