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Free akivis algebras

2005
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Advisor: Y.doç.dr. Zerrin Esmerligil

Abstract (EN)

ABSTRACTMSc THESISFREE AKIVIS ALGEBRASŞehmus FINDIKDEPARTMENT OF MATHEMATICSINSTITUTE OF NATURAL AND APPLIED SCIENCESUNIVERSITY OF ÇUKUROVASupervisor : Asist.Prof.Dr. Zerrin ESMERLİGİLYear : 2005, Pages: 39Jury : Prof.Dr. Naime EKİCİAsist.Prof.Dr. Ersin KIRALAsist.Prof.Dr. Ahmet TEMİZYÜREKAsist.Prof.Dr. Ela AYDINIn this study, free Akivis algebras and their universal enveloping algebrashave been investigated and it has proved that an Akivis algebra is linear. In additionhas proved that Akivis algebras have Schreier property. Also an algorithm todetermine bases of the subspaces of Akivis elements is described.Key Words: Free Akivis algebra, Subalgebra, Schreier property.II

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Dr. Şehmus Fındık

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Şehmus Fındık (Master Thesis). Free akivis algebras, 2005, Çukurova University.

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