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RINGS WHOSE ANNIHILATING-IDEAL GRAPHS HAVE POSITIVE GENUS
Let R be a commutative ring and ๐ธ(R) be the set of ideals with nonzero annihilators. The annihilating-ideal graph of R is defined as the graph ๐ธ๐พ(R) with the vertex set ๐ธ(R)* = ๐ธ\{(0)} and two distinct vertices I and J are adjacent if and only if IJ = (0). โฆ