Geodesic
Automorphisms of a Certain Skew Polynomial Ring of Derivation Type
Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 949-958

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Throughout this paper, all rings have the identity 1 and ring homomorphisms are assumed to preserve 1. We use p to denote a prime integer and F to denote a field of characteristic p. For an element α in F, we set A = F[κ]/(κp - α)F[κ].Moreover, by D and R, we denote the derivation of A induced by the ordinary derivation of F[κ] and the skew polynomial ring A[X,D] where aX = Xa+D(a) (a ∈ A), respectively (cf. [2]).In [3], R. W. Gilmer determined all the B-automorphisms of B[X] for any commutative ring B. Since then, some extensions or generalizations of his results have been obtained ([1], [2] and [5]). As to the characterization of automorphisms of skew polynomial rings, M. Rimmer [5] established a thorough result in case of automorphism type, while M. Ferrero and K. Kishimoto [2], among others, have made some progress in case of derivation type.
DOI : 10.4153/CJM-1990-050-0
Mots-clés : 16A21, 16A05 
Kikumasa, Isao. Automorphisms of a Certain Skew Polynomial Ring of Derivation Type. Canadian journal of mathematics, Tome 42 (1990) no. 6, pp. 949-958. doi: 10.4153/CJM-1990-050-0
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