Sonlu projektif düzlemlerin üçlü halkaları ve bazı konfigürasyon teoremleri

Abstract

SUMMARY This study covers six chapter. In the first chapter have been given some basic concepts' definations and theorems. In the second chapter, the relationship between the structures of linearity, addition, multiplication and distribution regarding (S,+,.) Hughes ternary ring of a projektive plane, and the restricted dual Pappus theorems has been studied. In the third chapter, the fact that any Hall ternary ring of a Pappusel projektive plane is a linear ternary ring has been demonstrated by the help of perspectives. In the fourth chapter, special forms which are equavalent to alterne law of Hall ternary ring have been given by giving the characteristics of D and Da about quadrangles in projektive plane. In the fifth chapter, sevarel minör forms of the theorems of Pappus and Dezarg on the projective plane, have been introduced in % and some algebraic results have been obtained in connection with these minor forms. In the sixth chapter the connection between some algebraic characteristics of Grupoid, being Va.be S, aAb=T(a,b,1) on Hall ternary rings in projective plane and the minor forms of Pappus and Desargues theorems has been studied.