DoctorateOpen Access

Rank properties of finite semigroup classes

2011
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Advisor: Doç. Dr. Gonca Ayık

Abstract (EN)

Let and be the semigroup of all full transformations and of all singular transformations on , respectively.It is given a formula which is a lower bound for the upper rank of . It is defined that (i,j)-permutations and it is examined that some properties of them. It is studied that properties of the elements of index 1 and period in and it is shown that the elements of this type generate the . Also it is shown that necessary and sufficient conditions for any subset of transformations of defect 1 in to be a (minimal) generating set for .

Author

Osman Kelekci

How to Cite

Osman Kelekci (Doctorate thesis). Rank properties of finite semigroup classes, 2011, Çukurova University.

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