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Original Articles

Lengths of Paths and Cycles in Zero-Divisor Graphs and Digraphs of Semigroups

Pages 1987-1991 | Received 31 May 2005, Published online: 08 Jun 2007

REFERENCES

  • Beck , I. ( 1988 ). Coloring of commutative rings . J. Algebra 116 : 208 – 226 .
  • Anderson , D. F. , Livingston , P. S. ( 1999 ). The zero-divisor graph of a commutative ring . J. Algebra 217 ( 2 ): 434 – 447 .
  • DeMeyer , F. R. , McKenzie , T. , Schneider , K. ( 2002 ). The zero-divisor graph of a commutative semigroup . Semigroup Forum 65 : 206 – 214 .
  • Levy , R. , Shapiro , J. ( 2002 ). The zero-divisor graph of Von Neumann regular rings . Comm. Alg. 30 : 745 – 750 .
  • Mulay , S. B. ( 2002 ). Cycles and symmetries of zero-divisors . Comm. Alg. 30 : 3533 – 3558 .
  • Redmond , S. P. ( 2002 ). The zero-divisor graph of a non-commutative ring . Internat. J. Commutative Rings 1 : 203 – 211 .

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