Abstract
In this paper we consider finite rank torsion-free rings, which have almost regular automorphisms of prime order (a non-trivial automorphism is called almost regular if it has only trivial fixed points, i.e. zero and the elements of a ring linear dependent on its identity). The main result of this paper is the analogue of G. Higman's known Theorem [1] on almost regular automorphism for commutative finite rank torsion-free rings.
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Friger, M. Analogue of G. Higman's Theorem for Commutative Torsion-Free Rings. Periodica Mathematica Hungarica 34, 195–199 (1997). https://doi.org/10.1023/A:1004367320849
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DOI: https://doi.org/10.1023/A:1004367320849