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The k-zero-divisor hypergraph

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Abstract

The concept of a k-zero-divisor hypergraph of a commutative ring was introduced by Eslahchi and Rahimi (Int. J. Math. Math. Sci., Art. ID 50875, 15 pp, 2007). In this paper we change the basic definitions of this concept, and we demonstrate that there are results about k-zero-divisor hypergraphs that parallel noteworthy results about zero-divisor graphs.

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Correspondence to Ali Benhissi.

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Communicated by M. Fontana.

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Haouaoui, A., Benhissi, A. The k-zero-divisor hypergraph. Ricerche mat. 61, 83–101 (2012). https://doi.org/10.1007/s11587-011-0117-x

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  • DOI: https://doi.org/10.1007/s11587-011-0117-x

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