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The Zero-Divisor Graph of a Lattice

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Abstract

For a finite bounded lattice £, we associate a zero-divisor graph G(£) which is a natural generalization of the concept of zero-divisor graph for a Boolean algebra. Also, we study the interplay of lattice-theoretic properties of £ with graph-theoretic properties of G(£).

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Authors and Affiliations

  1. Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159-91775, Mashhad, Iran

    E. Estaji & K. Khashyarmanesh

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  1. E. Estaji
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  2. K. Khashyarmanesh
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Correspondence to K. Khashyarmanesh.

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Estaji, E., Khashyarmanesh, K. The Zero-Divisor Graph of a Lattice. Results. Math. 61, 1–11 (2012). https://doi.org/10.1007/s00025-010-0067-8

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  • DOI: https://doi.org/10.1007/s00025-010-0067-8

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