Tropical矩阵半群  

Tropical matrix semigroups

作　　者：王晶[1] 宫春梅[1] WANG Jing;GONG Chun-mei(School of Science,Xian University of Architecture and Technology,Xian 710055,Shaanxi,China)

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《山东大学学报（理学版）》2022年第2期50-55,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金青年资助项目(12001418);陕西省教育厅基金项目(18JK0442)。

摘　　要：研究了tropical矩阵乘法半群的(*)-Green关系和正则性,给出了tropical矩阵乘法半群上R^(*)、D^(*)关系的等价刻画,讨论了上三角tropical矩阵乘法半群的正则性。The(*)-Greens relations and regularity of tropical matrix multiplicative semigroups are studied.The equivalent characterizations of the R^(*)and D^(*)relations on tropical matrix multiplicative semigroups are given,the regularity properties of the upper triangular tropical matrix multiplicative semigroups are discussed.

关 键 词：tropical半环 矩阵半群 Green关系 正则性 

分 类 号：O152.7[理学—数学]