发表机构
Purdue University（普渡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文分类了根立方零弱对称代数的厚子范畴，发现谱半径为2时可由Serre子范畴分类，否则仅平凡厚子范畴，并首次构造了非完全交的交换诺特Gorenstein优势局部环。
AI 中文摘要
本文研究了根立方零的有限维弱对称代数的（稳定）模范畴的厚子范畴。当Ext矩阵的谱半径为2时，包含该代数的厚子范畴（等价于稳定范畴的厚子范畴）可由某个阿贝尔范畴的Serre子范畴分类；当谱半径不为2时，仅出现平凡厚子范畴。作为应用，据我们所知，这首次给出了非完全交的交换诺特Gorenstein优势局部环的例子。
英文摘要
In this paper, we study thick subcategories of the (stable) module categories of finite-dimensional weakly symmetric algebras with radical cube zero. When the spectral radius of the Ext matrix is two, thick subcategories containing the algebra, equivalently thick subcategories of the stable category, are classified by Serre subcategories of a certain abelian category; when it is not two, only the trivial thick subcategories occur. As an application, this yields, to the best of our knowledge, the first examples of commutative Noetherian Gorenstein dominant local rings that are not complete intersections.
Comments22 pages
