Wild algebras have one-point extensions of representation dimension at least four

被引：7
|
作者：
Oppermann, Steffen [1 ]
机构：
[1] NTNU, Inst Matemat Fag, N-7491 Trondheim, Norway
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2009年 / 213卷 / 10期
关键词：
D O I：
10.1016/j.jpaa.2009.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that any wild algebra has a one-point extension of representation dimension at least four, and more generally that it has an n-point extension of representation dimension at least n+3. We give two explicit constructions, and obtain new examples of small algebras of representation dimension four. (C) 2009 Elsevier B.V. All rights reserved.
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页码：1945 / 1960
页数：16
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