JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (2): 50-55.doi: 10.6040/j.issn.1671-9352.0.2021.412

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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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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

CLC Number: 

  • O152.7
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