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On plane classes coordinated with some local rings

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2018
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Abstract (EN)

In this doctoral dissertation, a dual local ring class has been identified, and the addition and the multiplication for some points of the projective Klingenberg planes that built by the dual local rings of that class are examined both geometrically and algebraically with given definitions, theorems and results. Also, the relation between the addition and multiplication operations and the specifically identified collineations are investigated. It has been said that finding the right algebraic structure reveals the "true" nature of a geometric concept. This thesis also put forward, in a general manner, the meaning and the beauty of the correspondences between the geometric structures and their algebraic foundations.

Author

Abdurrahman Dayıoğlu

How to Cite

Abdurrahman Dayıoğlu (Doctorate thesis). On plane classes coordinated with some local rings, 2018, Bursa Uludağ Üni̇versi̇ty.

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