Characterization of quasi-coherent modules that are module schemes

Mathematics – Commutative Algebra

Scientific paper

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2 pages; typo added in Corollary 1.2

Scientific paper

The R-module functors that are essential for the development of the theory of
the linear representations of an affine R-group are the quasi-coherent
R-modules and the R-module schemes. The aim of this paper is to study when a
quasi-coherent R-module is an R-module scheme. We will prove that it is
equivalent to giving a characterization of projective R-modules of finite type.

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