2 papers
math.GR2024
A group and the completion of its coset semigroup
Xian-zhong Zhao, Zi-dong Gao, Dong-lin Lei
Let denote the inverse subsemigroup of consisting of all right cosets of all non-trivial subgroups of . This paper concentrates on the study of the…
math.GR2024
Nilpotent groups, solvable groups and factorizable inverse monoids
Dong-lin Lei, Jin-xing Zhao, Xian-zhong Zhao
In this paper subcentral (resp., central) idempotent series and composition subcentral (resp., central) idempotent series in an inverse semigroup are introduced and investigated. I…