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<p>Let <i>X</i> be a locally finite pre-ordered set, <i>K</i> a field of characteristic not 2 and <i>I</i>(<i>X</i>,&#xa0;<i>K</i>) the incidence algebra of <i>X</i> over <i>K</i>. In this paper, we can prove that each Jordan skew derivation of <i>I</i>(<i>X</i>,&#xa0;<i>K</i>) is a skew derivation.</p>

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Jordan Skew Derivations of Incidence Algebras

  • 期刊论文

  • 发表日期：

    2025年8月29日

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  • Hongyu Jia,
  • Zhankui Xiao

摘要

Let X be a locally finite pre-ordered set, K a field of characteristic not 2 and I(X, K) the incidence algebra of X over K. In this paper, we can prove that each Jordan skew derivation of I(X, K) is a skew derivation.