Abstract

In this paper, we investigate Lie generalized derivations on bound quiver algebras associated with a finite acyclic quiver. The first main result shows that every bound quiver algebra associated with a finite acyclic quiver has the properness Lie generalized derivation property. The second main result investigates the uniqueness property. Namely, among other things, we show that a bound quiver algebra associated with a finite acyclic quiver E has the uniqueness Lie generalized derivation property if and only if the quiver E does not contain any isolated vertex.

中文翻译：

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约束颤动代数上的Lie广义导数

摘要

在本文中，我们研究了与有限无环颤动相关的有界颤动代数的Lie广义导数。第一个主要结果表明，与有限无环颤动相关的每个有界颤动代数都具有适当的Lie广义导数性质。第二个主要结果研究了唯一性。即，除其他外，我们证明，当且仅当颤动E不包含任何孤立的顶点时，与有限无环颤动E相关联的有界颤动代数具有唯一性Lie广义导数性质。