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An ideal theoretic approach to complete partite zero-divisor graphs of posets

Alizadeh, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1142/S0219498812501484
  3. Publisher: 2013
  4. Abstract:
  5. In this paper, we characterize complete partite zero-divisor graphs of posets via the ideals of the posets. In particular, for complete bipartite zero-divisor graphs, we give a characterization based on the prime ideals of the posets
  6. Keywords:
  7. 05C70 ; 06A11 ; Complete partite graph ; Generalized tree 06A07 ; Ideal of a poset ; Poset ; prime ideal of a poset ; zero-divisor graph of a poset
  8. Source: Journal of Algebra and its Applications ; Volume 12, Issue 2 , 2013 ; 02194988 (ISSN)
  9. URL: http://www.worldscientific.com/doi/abs/10.1142/S0219498812501484