A note on division rings satisfying generalized rational identities with anti-automorphisms
Year: 2025
Type: article
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.
Source: Communications in Mathematics
DOI: 10.46298/cm.15434
Authors: Vo Hoang Minh Thu, Vu Mai Trang
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4415387953
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