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PURE-INJECTIVES RELATIVE TO A COTORSION PAIR: APPLICATIONS

Published online by Cambridge University Press:  02 August 2012

SERGIO ESTRADA  and
PEDRO A. GUIL ASENSIO
SERGIO ESTRADA
Affiliation:
Departamento de Matemática Aplicada, Universidad de Murcia, Campus del Espinardo, Espinardo (Murcia) 30100, Spain e-mail: sestrada@um.es
PEDRO A. GUIL ASENSIO
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, Campus del Espinardo, Espinardo (Murcia) 30100, Spain e-mail: paguil@um.es
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Abstract

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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.

Keywords

18C3518A3518F2003C98
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 1 , January 2013 , pp. 59 - 68
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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