On pure semi-simple Grothendieck categories I
Daniel Simson (1978)
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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...
Maurice Auslander, Ragnar-Olaf Buchweitz (1989)
Mémoires de la Société Mathématique de France
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Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Acta Universitatis Carolinae. Mathematica et Physica
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