Homology, Homotopy and Applications

Automorphisms of Hurwitz Series

William F. Keigher and Varadharaj R. Srinivasan

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Abstract

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.

Article information

Source
Homology Homotopy Appl., Volume 14, Number 2 (2012), 91-99.

Dates
First available in Project Euclid: 12 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.hha/1355321482

Mathematical Reviews number (MathSciNet)
MR3007087

Zentralblatt MATH identifier
1260.12003

Subjects
Primary: 12H05: Differential algebra [See also 13Nxx] 12H20: Abstract differential equations [See also 34Mxx]

Keywords
Automorphism comorphism derivation Hurwitz series

Citation

Keigher, William F.; Srinivasan, Varadharaj R. Automorphisms of Hurwitz Series. Homology Homotopy Appl. 14 (2012), no. 2, 91--99. https://projecteuclid.org/euclid.hha/1355321482


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