Reconstruction of path algebras from their posets of tilting modules
Reconstruction of path algebras from their posets of tilting modules
复制标题
从倾斜模偏序集重构路径代数
DOI：
10.1090/s0002-9947-09-04644-3
复制
发表时间：
2009
影响因子：
1.3
通讯作者：
L. Unger
中科院分区：
文献类型：
--
作者：
D. Happel;L. Unger
设A = kΔ是无定向圈的有限环的路代数.自由重数倾斜模的同构类的集合自然地是偏序集。我们将在这里证明，如果Δ没有多个箭头和没有孤立的顶点，则TA唯一地确定Δ。
Let A = kΔ be the path algebra of a finite quiver without orientedcycles. The set of isomorphism classes of multiplicity free tilting modules is in a natural way a partially ordered set. We will show here that T A uniquely determines Δ if Δ has no multiple arrows and no isolated vertices.