The Gabriel-Roiter measure for representation-finite hereditary algebras

The Gabriel-Roiter measure for representation-finite hereditary algebras
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DOI:
10.1016/j.jalgebra.2006.08.018
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发表时间:
2007-03
期刊:
影响因子:
0.9
通讯作者:
Bo Chen
Bo Chen
中科院分区:
数学3区
文献类型:
--
作者:
Bo Chen

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设Λ是代数闭域k上的表示有限遗传代数。给出了一个求不可分解Λ-模的正交例外对的方法,并研究了终止于Gabriel-Roiter因子模的几乎可裂序列.
Assume Λ is a representation-finite hereditary algebra over an algebraically closed field k. We provide a method to find orthogonal exceptional pairs for an indecomposable Λ-module and study the almost split sequences terminating at a Gabriel–Roiter factor module.