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The Representation Type of Repetitive Algebras over the Real Number Field

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Let A be a finite-dimensional algebra over the real number field.We prove that the repetitive algebra A admits the dichotomy property of representation type,i.e.,A is either of discrete representation type or of strongly unbounded type.

C-dichotomic algebraderived-discrete algebrafinite separable extensionstrongly unbounded type

Mengdie Zhang、Chao Zhang

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Department of Mathematics,School of Mathematics and Statistics Guizhou University,Guiyang 550025,China

National Natural Science Foundation of ChinaScience Technology Foundation of Guizhou ProvinceScience Technology Foundation of Guizhou Province

11961007[2018]1021[2020]1Y405

2023

10.1142/S1005386723000251

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN：1005-3867
年,卷(期)：2023.30(2)
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