%0 Journal Article %T Locally finite inverse semigroups %J Mathematical Analysis and its Contemporary Applications %I Research & Science Group Ltd %Z 2716-9898 %A Grailoo Tanha, Somaye %D 2020 %\ 11/16/2020 %V 2 %N 1 %P 23-27 %! Locally finite inverse semigroups %R 10.30495/maca.2020.679854 %X In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of disjoint well-ordered countable chains. We also prove that whenS is a locally finite Clifford semigroup, S is amenable if and only if minimal ideal of S is amenable. %U https://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf