The Zero-Divisor Graph of a Lattice

The Zero-Divisor Graph of a Lattice

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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Veröffentlicht in:Resultate der Mathematik 2012-02, Vol.61 (1-2), p.1-11
Hauptverfasser: Estaji, E., Khashyarmanesh, K.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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 ( £ ).
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-010-0067-8