10.30495/maca.2020.679854

Locally finite inverse semigroups

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  • Somaye Grailoo Tanha1,
  1. Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.

Published in Issue 2020-03-20

How to Cite

Locally finite inverse semigroups. (2020). Mathematical Analysis and Its Contemporary Applications, 2(1). https://doi.org/10.30495/maca.2020.679854

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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 when S is a locally finite Clifford semigroup, S is amenable if and only if minimal ideal of S is amenable.

Keywords

  • Amenability,
  • inverse semigroup,
  • Clifford semigroup,
  • locally finite semigroup
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References

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