EM− Graded Rings

Tariq Alraqad, Hicham Saber, Rashid Abu-Dawwas and Marco Fontana

Journal of Mathematics, 2024, vol. 2024, 1-6

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6634147

DOI: 10.1155/jom/6634147

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