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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Beligiannis, A. | en |
| dc.contributor.author | Marmaridis, N. | en |
| dc.date.accessioned | 2015-11-24T17:24:27Z | - |
| dc.date.available | 2015-11-24T17:24:27Z | - |
| dc.identifier.issn | 0092-7872 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12898 | - |
| dc.rights | Default Licence | - |
| dc.subject | algebras | en |
| dc.subject | modules | en |
| dc.title | Grothendieck groups arising from contravariantly finite subcategories | en |
| heal.type | journalArticle | - |
| heal.type.en | Journal article | en |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.identifier.secondary | <Go to ISI>://A1996VY71700009 | - |
| heal.language | en | - |
| heal.access | campus | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.publicationDate | 1996 | - |
| heal.abstract | The subject of the paper is the study of the relative homological properties of a given additive category C in relation to a given contravariantly finite subcategory chi in C under the assumption that any chi-epic has a kernel in C. We introduce the notion of the Grothendieck group relative to the pair (C, chi) and also that of the Cartan map c chi relative to (C, chi) and we show that the cokernel of c chi is isomorphic to the corresponding Grothendieck group of the stable category C/J chi. We also show that if the right chi-dimension of C is finite, then c chi is an isomorphism. In case C is a finite dimensional k-additive Krull-Schmidt category, we introduce the notion of the chi-dimension vector of an object of C. We give criteria for when an indecomposable object is determined, up to isomorphism, by its chi-dimension vector. | en |
| heal.publisher | Taylor & Francis | en |
| heal.journalName | Communications in Algebra | en |
| heal.journalType | peer reviewed | - |
| heal.fullTextAvailability | TRUE | - |
| Appears in Collections: | Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ | |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Beligiannis-1996-Grothendieck groups arising.pdf | 834.28 kB | Adobe PDF | View/Open Request a copy |
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