有限维代数III的幺正表示的几何：有限幺正型
The geometry of uniserial representations of finite dimensional algebras III: Finite uniserial type
摘要：
给出了有限维代数上的单模序列${\Bbb S}= (S(0),S(1),\dots,S(l))$的一种刻划，对于这种序列，只有1000个具有连续合成因子$S(0),\dots,S(l)$的唯一单列模.给出了一个代数只允许有有限个单列模的同构类型的充要条件。研究的主要工具是仿射代数簇，它们用合成列${\Bbb S}$参数化幺单列模。
英文摘要：
A description is given of those sequences ${\Bbb S}= (S(0),S(1),\dots,S(l))$ of simple modules over a finite dimensional algebra for which there are only finitely many uniserial modules with consecutive composition factors $S(0),\dots,S(l)$. Necessary and sufficient conditions for an algebra to permit only a finite number of isomorphism types of uniserial modules are derived. The main tools in this investigation are the affine algebraic varieties parametrizing the uniserial modules with composition series ${\Bbb S}$.
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