naa a22 4500 510783600 CHVBK 20180411083255.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11856-012-0187-9 doi (NATIONALLICENCE)springer-10.1007/s11856-012-0187-9 Chuang Chen-Lian Department of Mathematics, National Taiwan University, 106, Taipei, Taiwan aut Automorphisms of Ore extensions [Elektronische Daten] [Chen-Lian Chuang] Let R be a domain and σ an outer automorphism of R. For any automorphism g of the Ore extension R[t; σ], it is shown that either g(t) = at, g −1(t) = bt or g(t) = a, g −1(t) = b for some a, b ∈ R. As applications, we show first that R[t; σ] is essentially a quantum plane if R is a commutative domain and if R[t; σ] possesses an automorphism sending t into R. This shows an interesting analogy between the quantum plane and the Weyl algebra. We then determine all ring automorphisms of such R[t; σ]. Hebrew University Magnes Press, 2013 Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 437-452 0021-2172 197:1<437 2013 197 11856 https://doi.org/10.1007/s11856-012-0187-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-012-0187-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chuang Chen-Lian Department of Mathematics, National Taiwan University, 106, Taipei, Taiwan aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 197/1(2013-10-01), 437-452 0021-2172 197:1<437 2013 197 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer