Locally finite inverse semigroups

Mathematical Analysis and its Contemporary Applications

دوره 2، شماره 1، تیر 2020، صفحه 23-27   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2020.679854

نویسنده

Somaye Grailoo Tanha^*

Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.

چکیده

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.

کلیدواژه‌ها

Amenability؛ inverse semigroup؛ Clifford semigroup؛ locally finite semigroup