Supported by the Natural Science Foundation of Fujian Province(No.2021J05188);the Scientific Research Project of the Education Department of Fujian Province(No.JAT200331);President’s Fund of Minnan Normal University(No.KJ2020020);Fujian Key Laboratory of Granular Computing and Applications,Institute of Meteorological Big Data-Digital Fujian and Fujian Key Laboratory of Data Science and Statistics(Minnan Normal University).
The research is supported by the NSFC(No.10961014);the NSF of Jiangxi Province;the SF of Education Department of Jiangxi Province and the SF of Jiangxi Normal University.
For an inverse semigroup S, the set L(S) of all inverse subsemigroups (including the empty set) of S forms a lattice with respect to intersection denoted as usual by ∩ and union, where the union is the inverse subsem...