Generators and ranks of transformation semigroups
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Abstract (EN)
ABSTRACTMSc THESISGENERATORS AND RANK OF TRANSFORMATION SEMIGROUPSMetin KOCşDEPARTMENT OF MATHEMATICSINSTITUTE OF NATURAL AND APPLIED SCIENCESUNIVERSITY OF CUKUROVAşSupervisor: Assoc.Prof.Dr. Hayrullah AYIKYear: 2005, Pages: 43Jury: Assoc.Prof.Dr. Hayrullah AYIKü üProf.Dr. Yusuf UNLUAssist.Prof.Dr. Ersin KIRALIn this study, we gather some theorems about the generators of some transformationsemigroups playing an important role in semigroup theory. Such as we gave a minimalgenerating set and the rank of ï¬nite full transformation semigroup. Also the structure ofpartial transformation semigroup which includes the transformation semigroup was given.The subsemigroup generated by idempotent elements of ï¬nite transformation semigroupand properties of this idempotent elements are presented. Finally, order preserving transfor-mation semigroup which is a subsemigroup of the transformation semigroup was deï¬ned,the structure and some generators of these transformations were given.Key Words: Transformation semigroups, idempotent generators, rank.II
Author
Metin Koç
How to Cite
Metin Koç (Master Thesis). Generators and ranks of transformation semigroups, 2005, Çukurova University.
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