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Volume 10 Issue 4
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A Note on Projective Klingenberg Planes over Rings of Plural Numbers |
| ( Volume 4 Issue 2,February 2018 ) OPEN ACCESS |
| Author(s): |
Atilla Akpinar, Abdurrahman Dayıoglu, Isa Dogan, Bercem Boztemur, Derya Aslan, Zeynep Sena Gurel |
| Abstract: |
|
This paper deals with a certain class of projective Klingenberg planes over the local ring F[η]/<η^{m}> with F an arbitrary field, known as the plural algebra of order m. In particular addition and multiplication of points on a line is defined geometrically and interpreted algebraically, by using the coordinate ring. |
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