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Communications in Algebra· 2013Q2

On the Annihilator Graph of a Commutative Ring

Ayman Badawı

Short summary

The annihilator graph AG(R) of a commutative ring R is shown to be connected with diameter at most two and girth at most four (if it has a cycle).

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics