Abstract
We study filtrations of quasi–coherent sheaves. We prove a version of Kaplansky Theorem for quasi–coherent sheaves, by using Drinfeld’s notion of almost projective module and the Hill Lemma. We also show a Lazard-like theorem for flat quasi–coherent sheaves for quasi–compact and semi–separated schemes which satisfy the resolution property.
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The authors have been partially supported by DGI MTM2010-20940-C02-02 and by the Fundación Seneca. The first author has also been partially supported by the Junta de Andalucía and FEDER funds.
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Estrada, S., Asensio, P.A.G. & Odabaşı, S. A Lazard-Like Theorem for Quasi-Coherent Sheaves. Algebr Represent Theor 16, 1193–1205 (2013). https://doi.org/10.1007/s10468-012-9353-3
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DOI: https://doi.org/10.1007/s10468-012-9353-3