Semigroups generated by nilpotent transformation
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Abstract (EN)
Let and denote the semigroups of all partial transformations semigroup and of all transformations semigroup on the natural ordered set , respectively. Since contains a zero element, contains a nilpotent elements. shall denote the subsemigroup of contains generated by all the nilpotents of . In this thesis, we investigate and collect the study about subsemigroup of which is generated by the nilpotents of . For this purpose we consider two cases is even or odd. If is even then if and only if has non-zero . If is odd then if and only if has non zero and either or is an even transformation withKey Words: Partial transformation semigroup, nilpotent transformation
Author
Esra Önder
How to Cite
Esra Önder (Master Thesis). Semigroups generated by nilpotent transformation, 2011, Çukurova University.
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