有限FI代数的矩阵表示  

The Matrix Expression of Finite FI Algebra

作　　者：韦安丽 李莹[1] 赵建立[1] 丁文旭 WEI Anli;LI Ying;ZHAO Jianli;DING Wenxu(School of Mathematical Sciences/Research Center of Semi-tensor Product of Matrices:Theory and Applications,Liaocheng University,Liaocheng 252000,China)

机构地区：[1]聊城大学数学科学学院/矩阵半张量积理论与应用研究中心,聊城252000

出　　处：《华南师范大学学报（自然科学版）》2022年第6期102-108,共7页Journal of South China Normal University(Natural Science Edition)

基　　金：山东省自然科学基金项目(ZR2020MA053)。

摘　　要：将矩阵半张量积理论应用于FI代数系统的描述,给出了FI代数的矩阵表示,并借助于此矩阵表示研究了FI代数的同态、同构及其上导子的相关结构的性质。同时,利用逻辑矩阵运算获得了检测上述性质的直接可验证条件。The theory of the semi-tensor product of matrices is applied to systematic matrix description of FI algebra, and the matrix expressions of FI algebra are presented. Via these matrix expressions, the properties of the homomorphisms, isomorphisms and related structures of the derivatives of the FI algebra are studied. At the same time, straightforward verifiable conditions for detecting the properties above are obtained by using logical matrices operations.

关 键 词：矩阵半张量积 FI代数 同态和同构 导子 

分 类 号：O159[理学—数学]