幂零矩阵的换位子代数及其在交换Artin代数理论中的应用
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras
摘要：
给出了域上幂零矩阵的换位子代数的若干性质。特别地，我们确定了交换子代数的单模。然后应用这些结果证明了某些Artinian完全交具有强Lefscehtz性质。
英文摘要：
We show a number of properties of the commutator algebra of a nilpotent matrix over a field. In particular we determine the simple modules of the commutator algebra. Then the results are applied to prove that certain Artinian complete intersections have the strong Lefscehtz property.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
