论文标题
代表限制模块的僵化程度 - 限制自我注射代数
Rigidity degrees of indecomposable modules over representation-finite self-injective algebras
论文作者
论文摘要
发电机生成器的刚度程度决定了其内态代数的主要维度，并且与最近引入的同源维度 - 刚度尺寸密切相关。在本文中，我们通过通过从欧几里得算法开发组合方法来为所有不可分解的模块提供明确的公式。作为应用程序，给出了某些类型的$ a $和$ e $代数的刚度尺寸。
The rigidity degree of a generator-cogenerator determines the dominant dimension of its endomorphism algebra, and is closely related to a recently introduced homological dimension -- rigidity dimension. In this paper, we give explicit formulae for the rigidity degrees of all indecomposable modules over representation-finite self-injective algebras by developing combinatorial methods from the Euclidean algorithm. As an application, the rigidity dimensions of some algebras of types $A$ and $E$ are given.
