与一类群相关的n×n Tropical矩阵  

On n×n Tropical matrices associated with a class of groups

作　　者：邓伟娜 赵宪钟 程彦亮 DENG Weina;ZHAO Xianzhong;CHENG Yanliang(School of Mathematics and Statistics,Huanghuai University,Zhumadian 463000,China;School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]黄淮学院数学与统计学院,河南驻马店463000 [2]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2024年第3期417-424,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(11971383,12301024,12371024);黄淮学院青年骨干教师资助计划.

摘　　要：设A是n×n Tropical矩阵,G_(A)是A的中心化子群,即与A乘法可交换的置换矩阵所对应置换构成的群.对任意给定的非强正则的幂等正规n×n Tropical矩阵E,描述了具有传递中心化子群G_(E)的全体幂等正规Tropical矩阵.Let A be an nn Tropical matrix and G_(A) be the centralizer group of A,that is,the group which is formed by permutations,whose corresponding permutation matrices commute with A.For any given idempotent normal n×n Tropical matrix E which is not strongly regular,the idempotent normal matrices with transitive centralizer group G_(E) are described.

关 键 词：Tropical矩阵 幂等矩阵 正规矩阵 强正则矩阵 置换 

分 类 号：O153[理学—数学]