Rejection lemma and almost split sequences
DOI:
https://doi.org/10.37863/umzh.v73i6.6580Keywords:
lattices, orders, bijective lattices, almost split sequences, Auslander-Reiten quivers, stable categoriesAbstract
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′ obtained from A by such a rejection. These results are refined for the Gorenstein and Frobenius cases.
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