Stratifying Systems through $ au$-Tilting Theory
Stratifying Systems through $ au$-Tilting Theory
复制标题
通过 $ au$-倾斜理论对系统进行分层
作者：
O. Mendoza;H. Treffinger
本文利用T.Adachi，O.Iyama和I.Reiten在Cite{AIR}中提出的$Au$-倾斜理论，研究了K.Erdmann和C.Saenz在Cite{Erdmann2003}中提出的分层系统。我们给出了一个构造性的证明：对于任何有限维代数$A$，每个非零的$Au$-刚体模导出至少一个分层系统。后来，我们证明了这样发现的每个分层系统都是一个$Au$-例外序列，正如A.B.Buan和R.Marsh在引用{BM}中所定义的那样。
In this paper we study the stratifying systems, introduced by K. Erdmann and C. Saenz in cite{Erdmann2003}, by using the $ au$-tilting theory introduced by T. Adachi, O. Iyama and I. Reiten in cite{AIR}. We give a constructive proof that every non-zero $ au$-rigid module induces at least one stratifying system for any finite dimensional algebra $A$. Later, we show that each stratifying system found this way is a $ au$-exceptional sequence as defined by A. B. Buan and R. Marsh in cite{BM}.
影响因子：
1.7
作者：
T. Brustle;D. Smith;H. Treffinger
通讯作者：
T. Brustle;D. Smith;H. Treffinger