The Tropical Matrix Groups with Symmetric Idempotents | |
Yang, Lin1,2 | |
刊名 | DISCRETE DYNAMICS IN NATURE AND SOCIETY |
2018 | |
卷号 | 2018期号:2018 |
ISSN号 | 1026-0226 |
DOI | 10.1155/2018/4797638 |
英文摘要 | In this paper we study the semigroup Mn(T) of all nxn tropical matrices under multiplication. We give a description of the tropical matrix groups containing a diagonal block idempotent matrix in which the main diagonal blocks are real matrices and other blocks are zero matrices. We show that each nonsingular symmetric idempotent matrix is equivalent to this type of block diagonal matrix. Based upon this result, we give some decompositions of the maximal subgroups of Mn(T) which contain symmetric idempotents. |
资助项目 | National Natural Science Foundation of China[11561044][11861045] |
WOS研究方向 | Mathematics ; Science & Technology - Other Topics |
语种 | 英语 |
出版者 | HINDAWI LTD |
WOS记录号 | WOS:000453734900001 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.223/handle/2XXMBERH/32882] |
专题 | 理学院 |
通讯作者 | Yang, Lin |
作者单位 | 1.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China 2.Northwest Univ, Sch Math, Xian 710127, Shaanxi, Peoples R China |
推荐引用方式 GB/T 7714 | Yang, Lin. The Tropical Matrix Groups with Symmetric Idempotents[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2018,2018(2018). |
APA | Yang, Lin.(2018).The Tropical Matrix Groups with Symmetric Idempotents.DISCRETE DYNAMICS IN NATURE AND SOCIETY,2018(2018). |
MLA | Yang, Lin."The Tropical Matrix Groups with Symmetric Idempotents".DISCRETE DYNAMICS IN NATURE AND SOCIETY 2018.2018(2018). |
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