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Communications in Algebra Volume 34, 2006 - Issue 7
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Original Articles

Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings

Shane P. Redmond Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky, USACorrespondence[email protected]
Pages 2389-2401 | Received 14 Feb 2005, Published online: 01 Feb 2007

REFERENCES

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  • Anderson , D. F. , Frazier , A. , Lauve , A. , Livingston , P. S. ( 2001 ). The Zero-Divisor Graph of a Commutative Ring, II . Lecture Notes in Pure and Appl. Math. 202 . New York : Marcel Dekker , pp. 61 – 72 .
  • Beck , I. (1988). Coloring of commutative rings. J. Algebra 116:208–226. [CSA] [CROSSREF]
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  • Cannon , G. A. , Neuerburg , K. M. , Redmond , S. P. ( 2005 ). Zero-divisor graphs of nearrings and semigroups . Nearrings and Nearfields . Dordrecht : Springer , pp. 189 – 200 .
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  • Redmond , S. P. ( 2002 ). The zero-divisor graph of a non-commutative ring . Internat. J. Commutative Rings 1 ( 4 ): 203 – 211 . [CSA]
  • Redmond , S. P. ( 2003 ). An ideal-based zero-divisor graph of a commutative ring . Comm. Algebra 31 ( 9 ): 4425 – 4443 . [CSA] [CROSSREF]
  • Redmond , S. P. ( 2004 ). Structure in the zero-divisor graph of a non-commutative ring . Houston J. Math. 30 ( 2 ): 345 – 355 . [CSA]
  • Smith , N. O. ( 2002 ). Planar zero-divisor graphs . Internat. J. Commutative Rings 2 ( 4 ): 177 – 188 . [CSA]
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  • Communicated by J. Kuzmanovich.

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