Analogue of G. Higman's Theorem for Commutative Torsion-Free Rings Academic Article uri icon

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.

publication date

  • January 1, 1997