# Article

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Keywords:
Thompson’s Group \$F\$; amenability; minimal ideal
Summary:
We use a total order on Thompson’s group \$F\$ to show that the group ring \$\mathbb{K}F\$ has no minimal non-zero ideals.
References:
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[3] Frey, A.H.: Studies on Amenable Semigroups. Ph.D. thesis, University of Washington, 1960. MR 2613109

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