Preprojective partitions of artin algebras were introduced by Auslander and Smalo in 1982. In this work, we discuss the existence of preprojective partitions for artinian rings. We then investigate the modules in the first layer of such partition, and we show that they are end terms of almost split sequences. Finally, we introduce P1-hereditary algebras, a generalization of hereditary algebras.
Die erste Schicht der präprojektiven Zerlegung (Tesi di dottorato presso l'Università Ludwig-Maximilian di Monaco di Baviera)
ANGELERI, Lidia
1991
Abstract
Preprojective partitions of artin algebras were introduced by Auslander and Smalo in 1982. In this work, we discuss the existence of preprojective partitions for artinian rings. We then investigate the modules in the first layer of such partition, and we show that they are end terms of almost split sequences. Finally, we introduce P1-hereditary algebras, a generalization of hereditary algebras.File in questo prodotto:
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https://hdl.handle.net/20.500.14242/113137
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URN:NBN:IT:UNIVR-113137