Some Remarks on a Class of Finite Projective Klingenberg Planes

Authors

  • Atilla Akpinar University of Uludag, Turkey
  • Isa Dogan University of Uludag, Turkey
  • Elif Demirci University of Uludag, Turkey
  • Zeynep Sena Gurel University of Uludag, Turkey
  • Bercem Boztemur University of Uludag, Turkey

DOI:

https://doi.org/10.24297/jam.v14i2.7527

Keywords:

Plural Algebra, Local Ring, Projective Klingenberg Plane, Projective Collineation

Abstract

In this article, we deal with a class of projective Klingenberg planes constructed over a plural algebra of order m. Thanks to this, the incidence matrices for some special cases of the class are obtained. Next, the number of collineations of the certain classes are found. Besides, an example of a collineation for these classes are given. Finally, we achieve to carry the obtained results to more general case.

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Author Biographies

  • Atilla Akpinar, University of Uludag, Turkey

    University of Uludag, Faculty of Science and Art, Department of Mathematics, Bursa, Turkey

  • Isa Dogan, University of Uludag, Turkey

    University of Uludag, Institute of Science, Department of Mathematics, Bursa, Turkey

  • Elif Demirci, University of Uludag, Turkey

    University of Uludag, Institute of Science, Department of Mathematics, Bursa, Turkey

  • Zeynep Sena Gurel, University of Uludag, Turkey

    University of Uludag, Institute of Science, Department of Mathematics, Bursa, Turkey

  • Bercem Boztemur, University of Uludag, Turkey

    University of Uludag, Institute of Science, Department of Mathematics, Bursa, Turkey

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Published

2018-08-30

Issue

Vol. 14 No. 2 (2018): Advances in Mathematics

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Some Remarks on a Class of Finite Projective Klingenberg Planes. (2018). JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7893-7902. https://doi.org/10.24297/jam.v14i2.7527

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