On Domination in Zero-Divisor Graphs

2011/08/03 by Nader Jafari Rad, Sayyed Heidar Jafari, Doost Ali Mojdeh · 1 citation
Mathematics · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications

paper · pdf · doi:10.4153/cmb-2011-156-1

Abstract

Abstract We first determine the domination number for the zero-divisor graph of the product of two commutative rings with 1. We then calculate the domination number for the zero-divisor graph of any commutative artinian ring. Finally, we extend some of the results to non-commutative rings in which an element is a left zero-divisor if and only if it is a right zero-divisor.

Cited by

• Independent sets of some graphs associated to commutative rings

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