Abstract
Let k be a non-perfect field of characteristic p>O with a p-basisB and ks the algebraic separable closure of k. Starting from the ring of Schoeller DB [3] and the topological Galois group II of ks over k, we construct a new ring Ф such that the category of commutative affine k-group schemes is anti-equivalent to the category ofeffaceable left Ф-modules. (The effaceability is defined in the text).
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References
DEMAZURE, M., GABRIEL, P.: Groupes algébriques, tome I, Amsterdam: North-Holland 1970.
KAMBAYASHI, T., MIYANISHI, M., TAKEUCHI, M.: On the theory of unipotent algebraic groups over an arbitrary ground field, to appear in Springer Lecture Notes.
SCHOELLER, C.: Groupes affines commutatifs unipotents sur un corps non parfait, Bull. Soc. math. France100, 241–300 (1972).
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Takeuchi, M. On the structure of commutative affine group schemes over a non-perfect field. Manuscripta Math 16, 101–136 (1975). https://doi.org/10.1007/BF01181635
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DOI: https://doi.org/10.1007/BF01181635