Commutator automorphisms of formal power series rings

Authors:
Joseph Gubeladze and Zaza Mushkudiani

Journal:
Proc. Amer. Math. Soc. **134** (2006), 1569-1578

MSC (2000):
Primary 13J10, 13F25, 19A99, 19B99

DOI:
https://doi.org/10.1090/S0002-9939-05-08221-3

Published electronically:
October 28, 2005

MathSciNet review:
2204266

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: For a big class of commutative rings , every continuous -automorphism of with the linear part the identity is in the commutator subgroup of . An explicit bound for the number of commutators involved and a -theoretic interpretation of this result are provided.

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Additional Information

**Joseph Gubeladze**

Affiliation:
Department of Mathematics, San Francisco State University, San Francisco, California 94132

Email:
soso@math.sfsu.edu

**Zaza Mushkudiani**

Affiliation:
Kavsadze Street 4, Apart. 12, Tbilisi, Republic of Georgia

DOI:
https://doi.org/10.1090/S0002-9939-05-08221-3

Keywords:
Formal power series ring,
retraction,
automorphism,
commutator

Received by editor(s):
January 16, 2004

Received by editor(s) in revised form:
January 3, 2005

Published electronically:
October 28, 2005

Communicated by:
Bernd Ulrich

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.