Skip to main content
Log in

Projective Geometries Over Lattices and Their Morphisms

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, we study ring projective geometries, their association with projective lattices, and morphisms between geometries and between lattices. Factor-geometries of projective geometries on the rings, morphisms between them, and their main properties are also studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Buekenhout F., Handbook of Incidence Geometry. Buildings and Foundations, North-Holland, Amsterdam (1995).

  2. C. A. Faure and A. Frölicher, “Morphisms of projective geometries and of corresponding lattices,” Geom. Dedic., 47, No. 1, 25–40 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  3. C. A. Faure and A. Frölicher, “Morphisms of projective geometries and semilinear maps,” Geom. Dedic., 53, No. 3, 237–262 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  4. A. A. Lashkhi, “General geometric lattices and projective geometry of modules,” J. Math. Sci., 74, No. 3, 1044–1077 (1995).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. Bokelavadze.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 177, Algebra, 2020.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bokelavadze, T., Kvirikashvili, T. Projective Geometries Over Lattices and Their Morphisms. J Math Sci 275, 683–687 (2023). https://doi.org/10.1007/s10958-023-06709-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-023-06709-2

Keywords and phrases

AMS Subject Classification

Navigation