Coordinates and test elements of polynomial algebras
2006
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Advisor: Yrd. Doç. Dr. Zerrin Esmergil
Abstract (EN)
ABSTRACTMSc THESISCOORDİNATES AND TEST ELEMENTS OF POLYNOMİAL ALGEBRASAlev SEVİNDİKDEPARTMANT OF MATHEMATICSINSTITUTE OF NATUREL AND APPLIED SCIENCESUNIVERSITY OF ÇUKUROVASupervisor: Assist.Prof.Dr. Zerrin ESMERLİGİLYear: 2006, Pages:65Jury: Assist.Prof.Dr. Zerrin ESMERLİGİLProf.Dr.Naime EKİCİAssist.Prof.Dr.Ersin KIRALLet Pn and An be the polynomial and free associative algebra over a field Kfreely genarated by n generators, respectively. In this thesis we have determinedcoordinate polynomials of Pn and we have considered an analogue of this problem inthe algebra A2 . Furthermore we have analyzed algorithms determining whether thegiven an element of An is primitive. Also we have given necessary and sufficientconditions for an endomorphism of An to be an outomorphism. On the other hand wehave constructured test elements for the agebras An and Pn .Key Words: Polynomial algebra, free associatealgebra, coordinate polynomial, testelement, primitive element.II
Author
Alev Sevindik
How to Cite
Alev Sevindik (Master Thesis). Coordinates and test elements of polynomial algebras, 2006, Çukurova University.
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