完全正则子半群格是半模格的完全正则半群  

Completely regular semigroups whose lattice of completely regular subsemigroups is semimodular

作　　者：田振际[1] 胡运华 陶禹桦 TIAN Zhen-ji;HU Yun-hua;TAO Yu-hua(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2期155-157,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11261030)。

摘　　要：得到了完全正则半群S的子系统格是半模格的充分必要条件,即S的子系统格是半模格当且仅当S是一些UM-群或者极大子群为UM-群的左群或右群的序和.Otain the necessary and sufficient condition that the subsystem lattice of a completely regular semigroup S is a semimodular lattice,that is,the subsystem lattice of S is a semimodular lattice if and only if S is the order sum of some UM-groups or left[right]groups whose maximal subgroups are UM-groups.

关 键 词：完全正则半群 完全正则子半群格 半模格 

分 类 号：O153.1[理学—数学]