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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (2): 50-55.doi: 10.6040/j.issn.1671-9352.0.2021.412

• • 上一篇    

Tropical矩阵半群

王晶,宫春梅*   

  1. 西安建筑科技大学理学院, 陕西 西安 710055
  • 发布日期:2022-01-07
  • 作者简介:王晶(1997— ), 女, 硕士研究生, 研究方向为半群代数理论. E-mail:2157704087@qq.com*通信作者简介:宫春梅(1981— ), 女, 博士, 副教授, 研究方向为半群代数理论. E-mail:meigongchu@163.com
  • 基金资助:
    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)

Tropical matrix semigroups

WANG Jing, GONG Chun-mei*   

  1. School of Science, Xian University of Architecture and Technology, Xian 710055, Shaanxi, China
  • Published:2022-01-07

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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。

关键词: tropical半环, 矩阵半群, Green关系, 正则性

Abstract: 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.

Key words: tropical semiring, matrix semigroups, Greens relation, regularity

中图分类号: 

  • O152.7
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