一类𝔸⊗𝔸~型代数上的不可分解模的同构类
The Isoclasses of Indecomposable Modules over an Algebra of Type 𝔸⊗𝔸~
DOI: 10.12677/pm.2024.144138, PDF,    国家自然科学基金支持
作者: 周建国*, 刘雨喆:贵州大学数学与统计学院,贵州 贵阳;赵 伟#:阿坝师范学院数学学院,四川 汶川
关键词: 箭图表示Dynkin图Euclid图张量Nakayama代数Quiver Representations Dynkin Quiver Euclid Quiver Tensors Nakayama Algebras
摘要: 是2次Jacobson根为零的型Nakayama代数,是2次Jacobson根为零的型Nakayama代数。本文考虑了k-张量上的不可分解模的分类问题,并给出其在同构意义下的计数公式。
Abstract: Let be the Nakayama algebra of type with quadratic Jacobson radical to be zero and be the Nakayama algebra of type with quadratic Jacobson radical to be zero. In this paper, we consider the k-tensor of and and the classification of the indecomposable modules over . Moreover, we provide a counting formula to computing the number of isoclasses of indecomposable -modules.
文章引用:周建国, 刘雨喆, 赵伟. 一类𝔸⊗𝔸~型代数上的不可分解模的同构类 [J]. 理论数学, 2024, 14(4): 307-318. https://doi.org/10.12677/pm.2024.144138

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