Rejection lemma and almost split sequences
UDC 512.55 We study the behavior of almost split sequences and Auslander – Reiten quivers of an order under rejection of bijective modules as defined in [Ю. А. Дрозд, В. В. Кириченко, О квазибассовых порядках, Изв. АН СССР. Сер. мат., 36, 328 – 370 (1972)]. In particular, we establish relations o...
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| Datum: | 2021 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6580 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.55
We study the behavior of almost split sequences and Auslander – Reiten quivers of an order under rejection of bijective modules as defined in [Ю. А. Дрозд, В. В. Кириченко, О квазибассовых порядках, Изв. АН СССР. Сер. мат., 36, 328 – 370 (1972)]. In particular, we establish relations of stable categories and almost split sequences for an order $A$ and the order $A\prime$ obtained from $A$ by such a rejection. These results are refined for the Gorenstein and Frobenius cases.
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| DOI: | 10.37863/umzh.v73i6.6580 |