Prest, Mike and Wisbauer, Robert
(2004)
*Finite presentation and purity in categories σ[M].*
Colloq. Math., 99.
pp. 189-202.
ISSN 0010-1354

PDF
siglfpf.pdf Download (191kB) |

Official URL: http://journals.impan.gov.pl/cm/Inf/99-2-4.html

## Abstract

For any module M over an associative ring R, let σ[M] denote the smallest Grothendieck subcatgory 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 are 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 nonzero finitely presented objects.

Item Type: | Article |
---|---|

Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 16 Associative rings and algebras MSC 2010, the AMS's Mathematics Subject Classification > 18 Category theory; homological algebra |

Depositing User: | Professor Mike Prest |

Date Deposited: | 22 May 2006 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/283 |

### Actions (login required)

View Item |