π-正则半群的全π-正则子半群格  

Fullπ-regular subsemigroup lattices ofπ-regular semigroups

作　　者：田振际[1] 马存德 TIAN Zhen-ji;MA Cun-de(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》2021年第3期167-169,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11261030)。

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

关 键 词：Π-正则半群 全π-正则子半群 格 分配格 

分 类 号：O152[理学—数学]