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).
作者
田振际
赵梅
TIAN Zhen-ji;ZHAO Mei(School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China)
出处
《兰州理工大学学报》
CAS
北大核心
2020年第5期155-157,共3页
Journal of Lanzhou University of Technology
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
Clifford semigroups
normal subsemigroup lattices
distributive lattices
upper semidistributive lattices
lower semidistributive lattices
