### The group ring $\mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals

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.

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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.

We construct an example of a cancellative amenable semigroup which is the ascending union of semigroups, none of which are amenable.

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