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Poset Properties Determined by the Ideal - Based Zero-divisor Graph

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In this paper, we study someproperties of finite or infinite poset P determined by propertiesof the ideal based zero-divisor graph properties GJ(P), for anideal J of P.

Abstract

In this paper, we study someproperties of finite or infinite poset P determined by propertiesof the ideal based zero-divisor graph properties GJ(P), for anideal J of P.

참고문헌 (11)

  1. D. F. Anderson, "The zero-divisor graph of a commutative ring", J. Algebra, 217, pp.434~447 (1999)
  2. I. Beck, "Coloring of commutative rings", J. Algebra, 116, pp.208~226 (1988)
  3. J. A. Bondy, "Graph theory with applications" (1976), North-Holland
  4. F. R. DeMeyer, "The zero-divisor graph of a commu-tative semigroups", Semigroup Forum, 65, pp.206~214 (2002)
  5. Patchirajulu Dheena, "An ideal-based zero-divisor graph of 2-primal near-rings", 대한수학회보, 46(6), pp.1051~1060 (2009), 대한수학회
  6. Balasubramanian Elavarasan, "An ideal - based zero-divisor graph of posets", 대한수학회논문집, 28(1), pp.79~85 (2013), 대한수학회
  7. H. R. Maimani, "Median and Center of Zero-Divisor Graph of Commutative Semi-groups", Iran. J. Math. Sci. Inform, 3(2), pp.69~76 (2008)
  8. Radomr Hala, "On beck's coloring of posets", Discrete Mathematics, 309, pp.4584~4589 (2009)
  9. Radomr Hala, "On extensions of ideals in posets", Discrete Mathematics, 308, pp.4972~4977 (2008)
  10. S. P. Redmond, "An ideal-based zero-divisor graph of a commutative ring", Comm. Algebra, 31(9), pp.4425~4443 (2003)
  11. Tongsuo Wu, "Sub-semigroups determined by the zero-divisor graph", Discrete Mathematics, 308, pp.5122~5135 (2008)

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