Note on division rings shows that satisfying generalized rational identities implies central finiteness.
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 σᵐ≠ Id. In this paper, we show that if D satisfies a σᵐ-GRI, then D is centrally finite.
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Thu et al. (2025) studied this question.
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