Protasov, I. V.; Protasova, O. I. On closed ideals of \(\beta G\). (English) Zbl 1127.22002 Semigroup Forum 75, No. 1, 237-240 (2007). Summary: For every discrete group \(G\), the Stone-Čech compactification \(\beta G\) has a natural structure of a right topological semigroup. Using the concept of Boolean group ideal on \(G\), we propose a way of constructing closed ideals of the semigroup \(\beta G\). In particular, we show that, for every infinite Abelian group \(G\) of cardinality \(\kappa \), there are \(2^{2^{\kappa}}\) distinct closed ideals in \(\beta G\). Cited in 4 Documents MSC: 22A15 Structure of topological semigroups 20M12 Ideal theory for semigroups × Cite Format Result Cite Review PDF Full Text: DOI