Homology, Homotopy and Applications
Volume 14 (2012)
Automorphisms of Hurwitz series
Pages: 91 – 99
In this article we will define the notions of Hurwitz automorphism and comorphism of the ring of Hurwitz series. A Hurwitz automorphism is the analog of a Seidenberg automorphism of a power series ring when the characteristic of the underlying ring is not necessarily zero. We will show that the sets of all Hurwitz automorphisms, comorphisms, and derivations of the underlying ring are naturally isomorphic to one another.
automorphism, comorphism, derivation, Hurwitz series
2010 Mathematics Subject Classification