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http://hdl.handle.net/20.500.12358/21369
TitleOn Permutable Polynomials
Untitled
Abstract

In this thesis, we studied some concept of the theory of permutable polynomials which is a part of the decomposition theory, that is, a case where the operation of composition function is commutative. We let ourselves to study this subject over algebraically closed fleld of characteristic zero. We gave a historical survey to the theory and joined the work of previous mathematicians to give a new algebraically proof and generalization of previous results. We studied some special classes of polynomials like the class of chebyshev polynomials of the flrst kind, the set of monic monomials and m- odd polynomials. We studied the concepts of gap-form and gap-degree of polynomials and some properties of them. We studied the number of polynomials which commute with a flxed polynomials. Finally, we gave a new proof to show that there is only two chains up to conjugation.

Authors
El-sersawy, Ahmoud Saeed Abdelaziz
Supervisors
El-mabhouh, Ahmed
Typeرسالة ماجستير
Date2011
LanguageEnglish
Publisherthe islamic university
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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