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Operators on generalized power series

2001
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Illinois Journal of Mathematics
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Given a ring C and a totally (resp. partially) ordered set of "monomials" M, Hahn (resp. Higman) defined the set of power series C[ [M]] with well-ordered (resp. Noetherian or well-quasi-ordered) support in M. This set C[[M]] can usually be given a lot of additional structure: if C is a field and M a totally ordered group, then Hahn proved that C[[M]] is a field. More recently, we have constructed fields of "transseries" of the form C[[M]] on which we defined natural derivations and

doi:10.1215/ijm/1258138061
fatcat:ahfriup725c47fsrcn7rivoyo4