Subsemigroups of stone-ČECH compactification which semigroup
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Abstract (EN)
ABSTRACTMSc THESISSUBSEMIGROUPS OF STONE-ÄECH COMPACTIFICATION WHICHSEMIGROUPTuncay DİNCELDEPARTMENT OF MATHEMATICSINSTITUE OF NATUREL AND APPLIED SCIENCESUNIVERSITY OF ÇUKUROVASupervisor: Assist. Prof. Dr. Fikret KUYUCUYear: 2006, Pages: 44Jury: Assist. Prof. Dr. Fikret KUYUCUProf. Dr. Yusuf ÜNLÜAssist. Prof. Dr. Perihan DİNÇ ARTUTIn this thesis, the Stone-Äech compactification βS of a discrete space S isconstructed and some properties of βS are drived. Extension of the binaryoperation on a discrete semigroup S is extension to its Stone-Äechcompactification βS and it is shown that with this operation βS is a rigttopological semigroup. In the end, it is shown that whether or not βS \S is asubsemigroup of βS for some well known semigroup S. Also it is proved that if Sis a rectangular band such that βS \S is a subsemigroup of βS then βS \S is arectangular band too.Key words: Semigroup, Compactification.
Author
Tuncay Dincel
How to Cite
Tuncay Dincel (Master Thesis). Subsemigroups of stone-ČECH compactification which semigroup, 2006, Çukurova University.
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