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Functors of the category of abelian sheaves on regular affine scheme

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Abstract

In this short paper, we prove that ifR is a regular local ring of unequal characteristic, then there exists an additive covariant functorG from the category of abelian sheaves on SpecR to the category of abelian groups such that id R (G(R))>dimG(R). This result shows that the answer to the question 3.8 (ii) in [3] may be negative.

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References

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Normal University, 200234, Shanghai, China

    Zhou Caijun

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  1. Zhou Caijun
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Caijun, Z. Functors of the category of abelian sheaves on regular affine scheme. Acta Mathematica Sinica 12, 413–414 (1996). https://doi.org/10.1007/BF02106795

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  • DOI: https://doi.org/10.1007/BF02106795

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