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- W2162818829 abstract "a Harada-Sai sequence if each M i is an indecomposable R-module of nite length, no f i is an isomorphism, and the composite map M 1 1M s is nonzero. We write j (M i ) for the length of M i . Suppose that all the j (M i ) are bounded by a number b. Fitting's lemma shows that if all the M i were equal and all the f i were equal, then the length s of the sequence e is at most b^1. A signi cant generalization, the Harada-Sai Lemma G4H, says that even with distinct M i and f i the length s is bounded, this time by 2b^1. For typical applications see Bongartz G1H, Gabriel G3H, and Ringel G5H." @default.
- W2162818829 created "2016-06-24" @default.
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- W2162818829 date "1998-01-01" @default.
- W2162818829 modified "2023-09-24" @default.
- W2162818829 title "Chains of maps between indecomposable modules" @default.
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