On some geometric structures and local rings

Bu çalışma, 19-25 Eylül 2011 tarihleri arasında Halkidiki[Yunanistan]’de düzenlenen International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)’da bildiri olarak sunulmuştur.In this paper, we investigate some combinatoric properties of the Projective Klingenberg planes coordinatized with a finite local ring R when the cardinality of set I of the non-unit elements of R is k. As a result we arrive at the result that the order of the projective plane underlying projective Klingenberg plane must be n k, which is the index of I in R when |R| = n. Although some of the results given here can be found in the literature [1], [3] and [4] we approach to them in a direct way and give alternative proofs.European Soc Computat Methods Sci & Engn (ESCMSE)R M Santilli FdnACC I