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Original Articles

Conditions for a ring to be Noetherian or Artinian

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Pages 783-786 | Received 01 Aug 2000, Published online: 01 Feb 2007

REFERENCES

  • Dung , N.V. , Huynh , D.V. , Smith , P.F. and Wisbauer , R. 1994 . Extending Modules Pitman London Research Note in Mathematics Series 313
  • Huynh , D.V. , Rizvi , S.T. and Yousif , M.F. 1996 . Rings whose Finitely Generated Modules are Extending . J. Pure Appl. Algebra , 111 : 325 – 328 .
  • Huynh , D.V. 1996 . A Characterization of Noetherian Rings by Cyclic Modules . Proc. Edinburgh Math. Soc. , 39 : 253 – 262 .
  • Wisbauer , R. 1991 . Foundations of Module and Ring Theory London : Gordon and Breach .
  • Vanaja , N. 1996 . All Finitely Generated M-subgenerated Modules are Extending . Comm. Algebra , 24 : 543 – 572 .
  • Huynh , D.V. 1988 . On Rings with Restricted Minimum Condition . Arch. Math. , 51 : 313 – 326 .
  • Huynh , D.V. , Smith , P.F. and Wisbauer , R. 1990 . A Note on GV-modules with Krull Dimension . Glasgow Math. J. , 32 : 389 – 390 .
  • Huynh, D.V.; Rizvi, S.T. A New Characterization of Noetherian Rings by Cyclic Modules. Preprint
  • Rizvi , S.T. and Yousif , M.F. “ Non-commutative Ring Theory (Athens) ” . In On Continuous and Singular Modules Springer-LNM 1448, 1990; 116 124

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