Abstract:
We consider The Stone–Čech compactification functor from the category of discrete monoids to the
category of compact right topological monoids. We study its action on the normal extensions of
monoids. In particular, it is shown that this functor preserves such extentions.
Keywords:category of monoids, category of compact right topological monoids, forgetful functor, left adjoint functor, normal extension of monoids, Stone–Čech compactification functor.
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