Locally finite inverse semigroups

Volume 2, Issue 1
Spring 2020
Pages 23-27

Document Type : Original Article

Author

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

Abstract
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.
  • Receive Date 06 July 2020
  • Revise Date 17 September 2020
  • Accept Date 02 November 2020