Extensions Of Uniserial Modules

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA(2020)

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摘要
Let R be any ring and let 0 -> A -> B -> C -> 0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecomposable or B has a decomposition of the form B = B-1 circle plus B2 where B1 and B2 are indecomposable and at least one of them is uniserial.
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关键词
Uniserial modules, uniform modules, hollow modules, quivers and representations
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