ON INDECOMPOSABLE MODULES OVER A REPRESENTATION-FINITE TRIVIAL EXTENSION ALGEBRA

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：lomon521mutou

【摘要】

：

Let T(A)=A?D(A) be a representation-finite trivial extension algebra. We haveproved: (i) every indecomposable module of T(A) is determined by its top and socle,

【作者】

：

肖杰

【机构】

：

DepartmentofMathematics,BeijingNormalUniversity,Beijing100878,PRC

【出处】

：

中国科学：数学英文版

【发表日期】

：

1991年2期

【关键词】

：

representation-finite TRIVIAL EXTENSION Auslander-Reiten QUIVER Loewy factors. r

【基金项目】

：

Project supported by the National Natural Science Foundation of China.

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Let T(A)=A?D(A) be a representation-finite trivial extension algebra. We haveproved: (i) every indecomposable module of T(A) is determined by its top and socle, (ii)every indecomposable module of T(A) is determined by its Loewy factors and socal factorsre

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ON INDECOMPOSABLE MODULES OVER A REPRESENTATION-FINITE TRIVIAL EXTENSION ALGEBRA

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