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Original Articles

A NOTE ON ADDITIVE RANK FUNCTIONS

Pages 4919-4922 | Received 01 Jan 2000, Published online: 01 Feb 2007

REFERENCES

  • Beachy , J. A. 1978 . Injective Modules with Both Ascending and Descending Chain Conditions on Annihilators . Comm. Algebra , 6 : 1777 – 1788 .
  • Beachy , J. A. 1982 . Rings with Finite Reduced Rank . Comm. Algebra , 10 : 1517 – 1536 .
  • Beachy , J. A. and Blair , W. D. 1975 . Rings Whose Faithful Left Ideals are Cofaithful . Pacific J. Math. , 58 : 1 – 13 .
  • Goldie , A. W. 1964 . Torsion-Free Modules and Rings . J. Algebra , 1 : 268 – 287 .
  • Goodearl , K. R. and Warfield , R. B. Jr. 1989 . An Introduction to Noncommutative Noetherian Rings Vol. 16 , Cambridge : Cambridge University Press . London Mathematical Society Student Texts
  • Krause , G. 1990 . Additive Rank Functions in Noetherian . Rings. J. Algebra , 130 : 451 – 461 .
  • Krause , G. 1990 . Additive Rank Functions and Gabriel Filters in Right Noetherian Rings . J. Algebra , 134 : 36 – 44 .
  • Stenström , B. 1975 . Rings of Quotients Berlin-Heidelberg-New York : Springer-Verlag .

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