Stone-ČECH compactification of discrete semigroups
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Abstract (EN)
In this thesis some well known properties of topological semigroups andalgebraic structure of topological semigroups are presented.Then construction of the Stone-Äech compactification of β D of a discretespace D is defined and some topological properties of β D are given. Some resultson algebraic structure of β S are obtained, where S denoted a semigroup. We showthat there are 2c discrete copies of Z in each of the maximal groups in the smallestideal, and that any two of these meet only in the identity.Finally cancellativity of β S is studied and some conditions is obtained oncancellativity of β S .Key Words: Discrete semigroup, homomorphism, isomorphism, homoemorphism,cancellativity, finite group
Author
Serap Babanınoğlu
How to Cite
Serap Babanınoğlu (Master Thesis). Stone-ČECH compactification of discrete semigroups, 2006, Gaziantep University.
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