On pure global dimension of locally finitely presented Grothendieck categories
Daniel Simson (1977)
Fundamenta Mathematicae
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Daniel Simson (1977)
Fundamenta Mathematicae
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Wim Ruitenburg (1987)
Compositio Mathematica
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Timothy Porter (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Albert A. Cuoco (1980)
Compositio Mathematica
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Hébert, Michel (2010)
Theory and Applications of Categories [electronic only]
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Mike Prest, Robert Wisbauer (2004)
Colloquium Mathematicae
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For any module M over an associative ring R, let σ[M] denote the smallest Grothendieck subcategory of Mod-R containing M. If σ[M] is locally finitely presented the notions of purity and pure injectivity are defined in σ[M]. In this paper the relationship between these notions and the corresponding notions defined in Mod-R is investigated, and the connection between the resulting Ziegler spectra is discussed. An example is given of an M such that σ[M] does not contain any non-zero finitely...
S. M. Bhatwadekar, Amartya K. Dutta (1995)
Compositio Mathematica
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J. Garcia, D. Simson (1997)
Colloquium Mathematicae
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Daniel Simson, Andrzej Skowroński (1978)
Fundamenta Mathematicae
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Barr, Michael, Kennison, John F., Raphael, R. (2009)
Theory and Applications of Categories [electronic only]
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