Abstract
We study a natural generalization of the zero divisor graph introduced by Anderson and Livingston to commutative rings graded by abelian groups, considering only homogeneous zero divisors. We develop a basic theory for graded zero divisor graphs and present many examples. Finally, we examine classes of graphs that are realizable as graded zero divisor graphs and close with some open questions.
Citation
Katherine Cooper. Brian Johnson. "Zero divisor graphs of commutative graded rings." Involve 11 (2) 283 - 295, 2018. https://doi.org/10.2140/involve.2018.11.283
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