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Original Articles

Infinite Rings with Planar Zero-Divisor Graphs

Pages 4068-4077 | Received 02 Jul 2007, Published online: 02 Dec 2008

REFERENCES

  • Akbari , S. , Maimani , H. R. , Yassemi , S. ( 2003 ). When a zero-divisor graph is planar or a complete r-partite graph . J. Algebra 270 : 169 – 180 .
  • Anderson , D. F. , Livingston , P. S. ( 1999 ). The zero-divisor graph of a commutative ring . J. Algebra 217 : 434 – 447 .
  • Anderson , D. F. , Frazier , A. , Lauve , A. , Livingston , P. S. ( 2002 ). The Zero-Divisor Graph of a Commutative Ring, II . Lecture Notes in Pure and Applied Mathematics . Vol. 220 . New York : Dekker , pp. 61 – 72 .
  • Beck , I. ( 1988 ). Coloring of commutative rings . J.Algebra 116 : 208 – 226 .
  • Smith , N. O. ( 2003 ). Planar zero-divisor graphs . International J. Comm. Rings 2 ( 4 ): 177 – 188 .
  • Smith , N. O. ( 2007 ). Infinite planar zero-divisor graphs . Comm. Algebra 35 : 171 – 180 .
  • Communicated by I. Swanson.

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