A NEW PROOF OF CARTIER'S THIRD THEOREM

M. Hazewinkel

No 272167, Econometric Institute Archives from Erasmus University Rotterdam

Abstract: Let Gf A be the category of finite dimensional commutative formal == groups over a ring A. To A one associates a certain, in general noncommutative, ring Cart(A). One then defines a functor G C(G) which assigns to a formal group law G its group of curves which is a module over Cart(A). Theorems 2 and 3 of [1] now say that G C(G) is an equivalence of categories of GfA with a certain full subcategory of Cart(A)-modules. In this paper we give a new proof of theorem 3 of [1], Cartier's third theorem, which asserts that every Cart(A)-module of a certain type comes from a formal group law over A. This proof is based on the constructions of part TV of this series of papers [3].

Keywords: Agricultural and Food Policy; Research Methods/Statistical Methods (search for similar items in EconPapers)
Pages: 16
Date: 1978-03-25
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Persistent link: https://EconPapers.repec.org/RePEc:ags:eureia:272167

DOI: 10.22004/ag.econ.272167

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