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Original Articles

Dedekind Finite Rings and a Theorem of Kaplansky

Pages 4175-4178 | Received 01 Jun 2002, Published online: 01 Feb 2007

References

  • Brown , K. A. 1977 . The singular ideals of group rings . Quart. J. Math. Oxford Ser. (2) , 28 : 41 – 60 .
  • Brown , K. A. 1978 . The singular ideals of group rings . Quart. J. Math. Oxford Ser. (2) , 29 : 187 – 197 .
  • Faith , C. 1967 . Lectures on Injective Modules and Quotient Rings , Lecture Notes in Math. Vol. 49 , 140 Berlin, Heidelberg and New York : Springer-Verlag .
  • Faith , C. 1976 . Algebra II: Ring Theory , Grundl. Math. Wiss Vol. 191 , 571 Springer-Verlag .
  • Goodearl , K. R. 1979 . Von Neumann Regular Rings Krieger, Malabar : Pittman . revised ed. 1991; xvii + 412 pp
  • Johnson , R. E. and Wong , T. 1959 . Self-injective rings . Canad. Math. Bull. , 2 : 167 – 173 .
  • Kaplansky , I. 1969 . Infinite Abelian Groups , Second 91 Ann Arbor : University of Michigan Press .
  • Lam , T. Y. 1999 . Lectures on Modules and Rings , Graduate Texts. in Math. Vol. 189 , 557 Springer-Verlag .
  • Passman , D. S. 1977 . On the Algebraic Structure of Group Rings New York : Wiley-Interscience . xiv + 717 pp
  • Snider , R. L. 1976 . The singular ideal of a group algebra . Comm. Algebra , 4 : 1087 – 1089 .
  • Utumi , Y. 1956 . On quotient rings . Osaka Math. J. , 8 : 1 – 18 .
  • Utumi , Y. 1963 . On rings of which every one-sided quotient ring are two-sided . Proc. Amer. Math. Soc. , 14 : 141 – 147 . Proc. Japan Acad.1963, 39:287–288
  • Utumi , Y. 1965 . On continuous rings and self-injective rings . Amer. Math. Soc. , 118 : 158 – 173 .
  • Utumi , Y. 1967 . Self-injective rings . J. Algebra , 6 : 56 – 64 .
  • Zalesski , A. E. 1972 . On a problem of Kaplansky . Soviet Math. , 13 : 190 – 215 .

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