Abstract
This paper describes a structure theorem for finitely generated modules over power series rings O[[T]], where O is a maximal order in a semisimple Qp-algebra of finite dimension over Qp, extending Iwasawa's structure theorem (the case O=ℤp). A particular case of such power series ring is the ring Λ[Δ], where Λ is the power series ring ℤp〚T〛 and Δ is a finite group of order prime to p. Several applications are given, including a new proof of a result of Iwasawa important for the relationship between Hecke characters and certain Galois representations for CM fields.
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