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1 results

  • Automorphisms and Derivations of Skew Polynomial Rings

  • Mary P. Rosen, Jerry D. Rosen
  • Journal:
    Canadian Mathematical Bulletin / Volume 35 / Issue 1 / 01 March 1992
    Published online by Cambridge University Press:
    20 November 2018, pp. 126-132
    Print publication:
    01 March 1992
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  • For a prime ring R and σ ∊ Aut(R), we determine the group of Rstabilizing automorphisms of the skew polynomial ring R[x; σ]. In the case where R is simple, we characterize the X-inner automorphisms of R[x; σ]. We also provide necessary and sufficient conditions for a σ -commuting derivation of a prime ring R to extend to a derivation of R[x; σ].