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EM− Graded Rings

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  • Tariq Alraqad
  • Hicham Saber
  • Rashid Abu-Dawwas
  • Marco Fontana

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 Rx by taking the components Rxσ=Rσx. 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.

Suggested Citation

  • Tariq Alraqad & Hicham Saber & Rashid Abu-Dawwas & Marco Fontana, 2024. "EM− Graded Rings," Journal of Mathematics, Hindawi, vol. 2024, pages 1-6, November.
    • Handle: RePEc:hin:jjmath:6634147
    DOI: 10.1155/jom/6634147
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