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R-automorphisms ofR[t][[X]]

1972
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Pacific Journal of Mathematics
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Let R be a commutative ring with identity and let R[t] be the polynomial ring in a commuting indeterminate t over R. Let R((")) and R[t]((")) denote the formal power series rings R [ [X "..., X,]] and R [t] [ [Xl ,..., X,]] in n commuting indeterminates X, ,..., X" over R and R [t], respectively. Several papers [3,8,9, lo] have dealt with the structures of the R-endomorphisms (R-automorphisms) of R ((I)) = R [ [Xl], that is, endomorphisms of R"'" that induce the identity mapping on R. Recently

doi:10.2140/pjm.1972.42.81
fatcat:dxjb7pccjbcnrezwi7hh5nnhja