
Minimal ideals and minimal idempotents
... To put the theory of minimal left ideals and the two sided ideal K(S) to use, we want to make sure that K(S) is non-empty, i.e. that there is at least one minimal left ideal. We prove here that in a compact right topological semigroup, even more is true: these semigroups are what we call abundant. I ...
... To put the theory of minimal left ideals and the two sided ideal K(S) to use, we want to make sure that K(S) is non-empty, i.e. that there is at least one minimal left ideal. We prove here that in a compact right topological semigroup, even more is true: these semigroups are what we call abundant. I ...