期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：23
DOI：10.1155/S016117120000171X
出版社：Hindawi Publishing Corporation
摘要：We know that if S is a subsemigroup of a semitopological
semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫,𝒲𝒜𝒫,𝒮𝒜𝒫,𝒟 or ℒ𝒞, and (ϵ,T𝔉) denotes the canonical 𝔉-compactification of T, where T has the property that 𝔉(S)=𝔉(T)|s, then (ϵ|s,ϵ(S)¯) is an 𝔉-compactification of S. In this paper, we try to
show the converse of this problem when T is a locally compact
group and S is a closed normal subgroup of T. In this way we construct various semigroup compactifications of T from the same type compactifications of S.
