Regular D-classes of the semigroup of n x n tropical matrices

doi:10.3906/mat-1803-80

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	Regular D-classes of the semigroup of n x n tropical matrices
	Yang, Lin 1,2
刊名	TURKISH JOURNAL OF MATHEMATICS
	2018
卷号	42 期号:4 页码:2061-2070
关键词	Tropical algebra basis submatrix nonsingular idempotent matrix regular matrix
ISSN号	1300-0098
DOI	10.3906/mat-1803-80
英文摘要	In this paper we give the characterizations of Green's relations R, L, and D on the set of matrices with entries in a tropical semiring. An m x n tropical matrix A is called regular if there exists an n x m tropical matrix X satisfying AXA = A. Furthermore, we study the regular D-classes of the semigroup of all n x n tropical matrices under multiplication and give a partition of a nonsingular regular D-class.
资助项目	National Natural Science Foundation of China[11261030] ; National Natural Science Foundation of China[11561044]
WOS研究方向	Mathematics
语种	英语
出版者	SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
WOS记录号	WOS:000439579600040
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32878]
专题	理学院
通讯作者	Yang, Lin
作者单位	1.Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Yang, Lin. Regular D-classes of the semigroup of n x n tropical matrices[J]. TURKISH JOURNAL OF MATHEMATICS,2018,42(4):2061-2070.
APA	Yang, Lin.(2018).Regular D-classes of the semigroup of n x n tropical matrices.TURKISH JOURNAL OF MATHEMATICS,42(4),2061-2070.
MLA	Yang, Lin."Regular D-classes of the semigroup of n x n tropical matrices".TURKISH JOURNAL OF MATHEMATICS 42.4(2018):2061-2070.