The Hensel–Shafarevich Canonical Basis in Lubin–Tate Formal Modules

Resumo

In the present paper, a generalization of the Hensel–Shafarevich basis for Lubin–Tate formal modules over a local field is presented. These formal modules are constructed on the maximal ideal of some extension of this field. The cases where the extension has a perfect residue field or an imperfect residue field are studied. Bibliography: 10 titles.