On the connectivity of the annihilating-ideal graphs

T. Tamizh Chelvam; K. Selvakumar

Displaying similar documents to “On the connectivity of the annihilating-ideal graphs”

On the Radius and the Relation Between the Total Graph of a Commutative Ring and Its Extensions

Zoran Pucanović, Zoran Petrović (2011)

Publications de l'Institut Mathématique

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On L-ideal-based L-zero-divisor graphs

S. Ebrahimi Atani, M. Shajari Kohan (2011)

Discussiones Mathematicae - General Algebra and Applications

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In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.

On graphs associated to rings.

Petrović, Zoran Z., Moconja, Slavko M. (2008)

Novi Sad Journal of Mathematics

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Commutative rings in which every proper ideal is maximal

Joachim Reineke (1977)

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An ideal-based zero-divisor graph of direct products of commutative rings

S. Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi (2014)

Discussiones Mathematicae - General Algebra and Applications

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In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings.