Commutator automorphisms of formal power series rings

Details Commutator automorphisms of formal power series rings Commutator automorphisms of formal power series rings

2004-01-16

arxiv.org/abs/math/0401192v4

Mathematics

Commutative Algebra

to appear in Proc. Amer. Math. Soc

Scientific paper

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.

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