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

Marek Jukl
Additional contact information
Marek Jukl: Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 17. Listopadu 12, 711 46 Olomouc, Czech Republic

Mathematics, 2019, vol. 7, issue 8, 1-8

Abstract: 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.

Keywords: projective Klingenberg space; point; hyperplane; local ring; plural algebra; A-space; A-subspace; neighbor points (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/8/702/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/8/702/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:8:p:702-:d:254640

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().