兰州理工大学学报

兰州理工大学学报 ›› 2020, Vol. 46 ›› Issue (5): 155-157.

• 数理科学 • 上一篇    下一篇

Clifford半群的正规子半群格

田振际, 赵梅   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2019-04-19 出版日期:2020-10-28 发布日期:2020-11-06
  • 作者简介:田振际(1964-),男,甘肃会宁人,博士,教授.

Normal subsemigroup lattices of Clifford semigroups

TIAN Zhen-ji, ZHAO Mei   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2019-04-19 Online:2020-10-28 Published:2020-11-06

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摘要： 研究了Clifford半群的正规子半群格的分解, 由此进一步得到Clifford半群的正规子半群格是分配格(上半分配格, 下半分配格)的充分必要条件.

关键词: Clifford半群, 正规子半群格, 分配格, 上半分配格, 下半分配格

Abstract: The decomposition of the normal semigroup lattices of Clifford semigroups is studied, and then confirms the necessary and sufficient conditions for normal subsemigroup lattices of Clifford semigroups to be distributive lattices (upper semidistributive lattices, lower semidistributive lattices).

Key words: Clifford semigroups, normal subsemigroup lattices, distributive lattices, upper semidistributive lattices, lower semidistributive lattices

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