Jordan $*$-derivations of incidence algebras

Liuqing Yang

Jordan $*$-derivations of incidence algebras

Rings and Algebras 2025-07-21 v1

Authors: Liuqing Yang

Abstract

Let $X$ be a locally finite partially ordered set (poset), $K$ a field of characteristic not 2, and $I(X,K)$ the incidence algebra over $K$ . In this paper, we prove that every Jordan $*$ -derivation of $I(X,K)$ is an inner $*$ -derivation and a transposed Jordan $*$ -derivation. Moreover, we demonstrate the existence of Jordan $*$ -derivations that are not $*$ -derivations.

Keywords

incidence algebra Jordan derivation locally finite poset inner derivation transposed Jordan derivation

Cite

@article{arxiv.2507.13751,
  title  = {Jordan $*$-derivations of incidence algebras},
  author = {Liuqing Yang},
  journal= {arXiv preprint arXiv:2507.13751},
  year   = {2025}
}

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