Geodesic
Semigroup Compactifications of Direct and Semidirect Products
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 233-240

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DOI

A classical result of I. Glicksberg and K. de Leeuw asserts that the almost periodic compactification of a direct product S × T of abelian semigroups with identity is (canonically isomorphic to) the direct product of the almost periodic compactiflcations of S and T. Some efforts have been made to generalize this result and recently H. D. Junghenn and B. T. Lerner have proved a theorem giving necessary and sufficient conditions for an F-compactification of a semidirect product S⊗σ T to be a semidirect product of compactiflcations of S and T. A different such theorem is presented here along with a number of corollaries and examples which illustrate its scope and limitations. Some behaviour that can occur for semidirect products, but not for direct products, is exposed
DOI : 10.4153/CMB-1983-037-2
Mots-clés : 22A15, 22A20, 43A60, semitopological semigroup, (semidirect) product, (right topological) compactification 
Milnes, Paul. Semigroup Compactifications of Direct and Semidirect Products. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 233-240. doi: 10.4153/CMB-1983-037-2
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     title = {Semigroup {Compactifications} of {Direct} and {Semidirect} {Products}},
     journal = {Canadian mathematical bulletin},
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     year = {1983},
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     number = {2},
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