1. On Some Geometric Structures and Local Rings.
- Author
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Erdogan, Fatma Ozen, Celik, Basri, and Ciftci, Suleyman
- Subjects
- *
LOCAL rings (Algebra) , *COMBINATORICS , *PROJECTIVE planes , *PROOF theory , *SET theory - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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