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PURE-INJECTIVES RELATIVE TO A COTORSION PAIR: APPLICATIONS
Published online by Cambridge University Press: 02 August 2012
Abstract
Finitely accessible categories naturally arise in the context of the classical theory of purity. In this paper we generalise the notion of purity for a more general class and introduce techniques to study such classes in terms of indecomposable pure injectives related to a new notion of purity. We apply our results in the study of the class of flat quasi-coherent sheaves on an arbitrary scheme.
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- Copyright © Glasgow Mathematical Journal Trust 2012