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Finite presentation and purity in categories σ[M]

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Prest M., Wisbauer R.

Colloquium Mathematicum

2004

tom 99

nr 2

189-202

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 presented objects.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Prest M.

1 Wisbauer R.

1 2004

Wyniki wyszukiwania

Finite presentation and purity in categories σ[M]