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arXiv · 2605.12849

Commuting maps of inflated algebras

Hongyu Jia·Zhankui Xiao
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Abstract

Commuting maps on a class of algebras called inflated algebras are investigated. In particular, we can prove that every commuting map $θ$ on such an algebra is of the form $θ(x)=c x+μ(x)$, where $c$ belongs to the base field $K$ of characteristic not 2, and $μ$ is a central-valued linear map.

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Hongyu Jia, Zhankui Xiao. 2026-05-13. Commuting maps of inflated algebras. https://arxiv.org/abs/2605.12849

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