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Start Over Author "Çelik, Basri" Topic local rings (algebra) Publication Type Academic Journals

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1. On the hyperbolic Klingenberg plane classes constructed by deleting subplanes.

Author

Çelik, Basri

Subjects
*HYPERBOLIC geometry, *PROJECTIVE planes, *FINITE rings, *LOCAL rings (Algebra), *MATHEMATICS theorems
Abstract

In this study we investigate the structures constructed by deleting a subplane from a projective Klingenberg plane. If the superplane and the subplane are infinite, then it can be easily seen that the remaining structure satisfies the conditions of a hyperbolic Klingenberg plane. In this study we show that the remaining structure is the hyperbolic Klingenberg plane if the inequality [InlineEquation not available: see fulltext.] holds when the superplane and the subplane are finite and t, r and t, m are their parameters, respectively. MSC: 51D20, 05B25. [ABSTRACT FROM AUTHOR]

Published
2013
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