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Article

A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra

Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. Listopadu 12, 711 46 Olomouc, Czech Republic
Mathematics 2019, 7(8), 702; https://doi.org/10.3390/math7080702
Received: 5 June 2019 / Revised: 29 July 2019 / Accepted: 30 July 2019 / Published: 3 August 2019
(This article belongs to the Special Issue Differential Geometry of Special Mappings)
This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described. The notion of the “degree of neighborhood” is introduced. Using this, we present the geometric description of subsets of points of a projective Klingenberg space whose arithmetical representatives need not belong to a free submodule. View Full-Text
Keywords: projective Klingenberg space; point; hyperplane; local ring; plural algebra; A-space; A-subspace; neighbor points projective Klingenberg space; point; hyperplane; local ring; plural algebra; A-space; A-subspace; neighbor points
MDPI and ACS Style

Jukl, M. A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra. Mathematics 2019, 7, 702. https://doi.org/10.3390/math7080702

AMA Style

Jukl M. A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra. Mathematics. 2019; 7(8):702. https://doi.org/10.3390/math7080702

Chicago/Turabian Style

Jukl, Marek. 2019. "A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra" Mathematics 7, no. 8: 702. https://doi.org/10.3390/math7080702

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