π-群强半格的同余  

Congruence on a strong semilattice of π-groups

作　　者：戴璐瑶 张建刚[2] 申冉[3] DAI Luyao;ZHANG Jiangang;SHEN Ran(ShanghaiJiangning School,Shanghai 200060,China;Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China;College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]上海市江宁学校,上海200060 [2]上海师范大学数理学院,上海200234 [3]东华大学理学院,上海201620

出　　处：《上海师范大学学报（自然科学版）》2022年第3期301-305,共5页Journal of Shanghai Normal University(Natural Sciences)

基　　金：国家自然科学基金(11671056)。

摘　　要：一个半群是Clifford半群当且仅当它是群的强半格,π-群是群在π-正则半群范围内的推广.同余是研究半群性质和结构的重要手段和工具.研究了π-群的强半格上的正则同余,并给出了π-群强半格上的同余是正则同余的充要条件.It is well known that a semigroup is a Clifford semigroup,if and only if it is a strong semilattice of groups,and the class ofπ-groups is the generalization of groups in the range ofπ-regular semigroups.Congruence is an important tool when studying the characterization and structure of a semigroup.In this paper,we consider the regular congruences on a strong semilattice ofπ-groups,and give necessary and sufficient conditions for a congruence on a strong semilattice ofπ-groups to be a regular congruence.

关 键 词：Π-群 强半格 正则同余 正规子群 

分 类 号：O152.7[理学—数学]