Clifford半群的正规子半群格  

Normal subsemigroup lattices of Clifford semigroups

作　　者：田振际[1] 赵梅 TIAN Zhen-ji;ZHAO Mei(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2020年第5期155-157,共3页Journal of Lanzhou University of Technology

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.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).

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 

分 类 号：O152[理学—数学]