标题： 带有多项式恒等式的箭形图 显示英文标题

标题： Quivers with Polynomial Identities

摘要： 我们提供了一类其路径代数满足多项式恒等式的图的拓扑特征。 这类图包括有向环和无环图，在后者的情况下，我们描述了相关的T-理想。 我们引入了Arnold的A-分次代数的一个推广，我们称之为局部A-分次代数，并证明它们也是PI代数。 我们给出一个例子，说明即使图的路径代数不满足多项式恒等式，该图的代数也可能满足多项式恒等式。 显示英文摘要

摘要： We provide a topological characterization of quivers whose path algebra satisfies a polynomial identity. This class includes the oriented cycle and acyclic quivers and, in the latter case, we describe the associated T-ideal. We introduce a generalization of Arnold's A-graded algebras, which we call locally A-graded algebras, and prove that they are also PI. We give an example of a quiver algebra satisfying a polynomial identity, even if the path algebra of the quiver does not.