RGNNA Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9898
2
1
2020
11
16
Locally finite inverse semigroups
23
27
679854
10.30495/maca.2020.679854
EN
Somaye
Grailoo Tanha
Esfarayen University of Technology,
Esfarayen, North Khorasan, Iran.
Journal Article
2020
07
06
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.
https://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf