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arXiv · 2503.20562

A note on division rings satisfying generalized rational identities with anti-automorphisms

Vo Hoang Minh Thu·Vu Mai Trang
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Abstract

Let $D$ be a division ring with infinite center $F$; $σ$ be an anti-automorphism of $D$ and $m$ be a positive integer such that $σ^m\neq \mathrm{Id}$. In this paper, we show that if $D$ satisfies a $σ^m$-GRI, then $D$ is centrally finite.

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Vo Hoang Minh Thu, Vu Mai Trang. 2025-10-19. A note on division rings satisfying generalized rational identities with anti-automorphisms. https://doi.org/10.46298/cm.15434

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