The ideal structure of the Stone-Čech compactification of a group-Reference-Cited by-同舟云学术

The ideal structure of the Stone-Čech compactification of a group

Published:1977-11 Issue:3 Volume:82 Page:401-409
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Baker J. W.,Milnes P.

Abstract

Let S be both a topological space and a semigroup. For s ∈ S, define the maps λs and ρs of S to S by

We shall say that S is a right-topological (resp. left-topological) semigroup if ρs (resp. λs) is continuous for each s in S. We denote by Λ(S) the set

this is a subsemigroup of S.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Rechtstopologische Halbgruppen;Ruppert;J. Reine Angew. Math.,1973

2. On a geometric property of the set of invariant means on a group

3. (3) Butcher R. J. The Stone-Čech compactification of a topological semigroup, and its algebra of measures. Ph.D. thesis, University of Sheffield, 1975.

4. The continuity of the Arens product on the Stone-Čech compactification of semi-groups;Macri;Trans. Amer. Math. Soc.,1974

5. The exact cardinality of the set of invariant means on a group

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