Rejection lemma and almost split sequences
Abstract
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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