兰州理工大学学报

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (3): 167-169.

• 数理科学 • 上一篇    下一篇

π-正则半群的全π-正则子半群格

田振际*, 马存德   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2020-01-02 出版日期:2021-06-28 发布日期:2021-07-19
  • 通讯作者: 田振际(1964-),男,甘肃会宁人,博士,教授.Email:zjtian@lut.edu.cn
  • 基金资助:
    国家自然科学基金(11261030)

Full π-regular subsemigroup lattices of π-regular semigroups

TIAN Zhen-ji, MA Cun-de   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2020-01-02 Online:2021-06-28 Published:2021-07-19

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摘要： 研究了π-正则半群的全π-正则子半群格的相关性质及特征.进一步给出π-正则半群的全π-正则子半群格是分配格的充分必要条件.

关键词: π-正则半群, 全π-正则子半群, 格, 分配格

Abstract: The properties and characteristics of full π-regular subsemigroup lattices of π-regular semigroups are mainly studied, and further present the necessary and sufficient conditions for full π-regular subsemigroup lattices of π-regular semigroups to be distributive lattice.

Key words: π-regular semigroups, full π-regular subsemigroup, lattices, distributive lattices

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