Classification of rings with toroidal Jacobson graph

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Classification of rings with toroidal annihilating-ideal graph

Let R be a non-domain commutative ring with identity and A(R) be theset of non-zero ideals with non-zero annihilators. We call an ideal I of R, anannihilating-ideal if there exists a non-zero ideal J of R such that IJ = (0).The annihilating-ideal graph of R is defined as the graph AG(R) with the vertexset A(R) and two distinct vertices I and J are adjacent if and only if IJ =(0). In this paper,...

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ژورنال

عنوان ژورنال: Czechoslovak Mathematical Journal

سال: 2016

ISSN: 0011-4642,1572-9141

DOI: 10.1007/s10587-016-0257-y