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<p>We study the unit nil-cleanness of group rings when <i>R</i> is commutative or arbitrary. Furthermore, we investigate some properties of singular clean group rings. A necessary and sufficient condition for the group ring <i>RG</i> to be singular clean is provided.</p>

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Unit nil-clean and singular clean group rings

  • 期刊论文

  • 发表日期：

    2025年3月5日

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  • Rajendra Kumar Sharma,
  • Amit B. Singh

摘要

We study the unit nil-cleanness of group rings when R is commutative or arbitrary. Furthermore, we investigate some properties of singular clean group rings. A necessary and sufficient condition for the group ring RG to be singular clean is provided.