Commutator automorphisms of formal power series rings
Commutative Algebra
2007-05-23 v4 K-Theory and Homology
Abstract
For a big class of commutative rings R every continuous R-automorphism of R[[X_1,...,X_n]] with the identity linear part is in the commutator subgroup of Aut(R[[X_1,...,X_n]]). An explicit bound for the number of the involved commutators and a K-theoretic interpretation of this result are provided.
Keywords
Cite
@article{arxiv.math/0401192,
title = {Commutator automorphisms of formal power series rings},
author = {Joseph Gubeladze and Zaza Mushkudiani},
journal= {arXiv preprint arXiv:math/0401192},
year = {2007}
}
Comments
to appear in Proc. Amer. Math. Soc