The preprojective algebra of a tame hereditary artin algebra
The preprojective algebra of a tame hereditary artin algebra
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DOI：
10.1080/00927878708823425
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发表时间：
1987
影响因子：
0.7
通讯作者：
D. Baer;W. Geigle;H. Lenzing
中科院分区：
文献类型：
--
作者：
D. Baer;W. Geigle;H. Lenzing
若A是有限维遗传k-代数，则不可分解左（右）A-模的代表系统的直和可以给出a-通常是无限维k-代数的结构，称为A的预投射代数n（A）.如果A是树的路径代数，这个构造是由于Gelfand和Ponomarev [ID]。Dlab和Ringel将这种构造扩展到A由调制图给出的情况[8]。我们注意到，在一个隐含的形式，预投射代数也出现在
If A is a finite dimensional hereditary k-algebra, the direct sum of a representative system of indecomposable left (right) A-modules can be given the structure of a-usually infinite dimensional-k-algebra, called the preprojective algebra n (A) of A. If A is the path algebra of a tree, this construction is due to Gelfand and Ponomarev [ID]. Dlab and Ringel extended this construction to the case where A is given by a modulated graph [8]. We note that-in an implicit form-the preprojective algebra also occurs in