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<p>This paper concerns the McCoy property in the context of Ore extensions. We show that if <i>R</i> is a (<i>σ, δ</i>)-compatible Artinian and reversible ring, then the Jacobson radical <i>J</i>(<i>R</i>) is (<i>σ, δ</i>)-skew McCoy and that if <i>R</i> is a (<i>σ, δ</i>)-compatible local Artinian and right duo ring, then <i>J</i>(<i>R</i>) is also (<i>σ, δ</i>)-skew McCoy.</p>

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Ore extensions and the McCoy property

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • Kyu Sang Lee

摘要

This paper concerns the McCoy property in the context of Ore extensions. We show that if R is a (σ, δ)-compatible Artinian and reversible ring, then the Jacobson radical J(R) is (σ, δ)-skew McCoy and that if R is a (σ, δ)-compatible local Artinian and right duo ring, then J(R) is also (σ, δ)-skew McCoy.