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- W2606755311 abstract "For a discrete group $G$, we use the natural correspondence between ideals in the Boolean algebra $ mathcal{P}_G$ of subsets of $G$ and closed subsets in the Stone-$check{C}$ech compactifi-cation $beta G$ as a right topological semigroup to introduce and characterize some new ideals in $beta G$. We show that if a group $G$ is either countable or Abelian then there are no closed ideals in $beta G$ maximal in $G^*$, $G^* = beta G setminus G$, but this statement does not hold for the group $S_kappa$ of all permutations of an infinite cardinal $kappa$. We characterize the minimal closed ideal in $beta G$ containing all idempotents of $G^*$." @default.
- W2606755311 created "2017-04-28" @default.
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- W2606755311 date "2017-04-08" @default.
- W2606755311 modified "2023-09-27" @default.
- W2606755311 title "Ideals in $mathcal{P} _G$ and $beta G$" @default.
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