Abstract
The main goal of this article is to introduce the concept of EM − G− graded rings. This concept is an extension of the notion of EM− rings. Let G be a group, and R be a G− graded commutative ring. The G− gradation of R can be extended to R[x] by taking the components (R[x])σ = Rσ[x]. We define R to be an EM − G− graded ring if every homogeneous zero divisor polynomial has an annihilating content. We provide examples of EM − G− graded rings that are not EM− rings, and we prove some interesting results regarding these rings.
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