What question did this study set out to answer?

This research aims to construct an n-dimensional projective coordinate space over a specific local ring.

March 1, 2026

On projective coordinate spaces

Key Points

This research aims to construct an n-dimensional projective coordinate space over a specific local ring.
Constructed an (n + 1)-dimensional module over the local ring K = M(mm)(R)
Developed n-dimensional projective coordinate space using equivalence classes
Classified points and lines within the projective coordinate space
Utilized Maple commands to find incidence matrices for given points
Identified points and lines in the constructed projective coordinate space
Classified the points effectively
Calculated the incidence matrix for a specific line through determined points

Abstract

In the present study, an (n + 1) clime nsion al module over the local ring K = M (mm)(R) is constructed. Further, an n dimensional projective coordinate space over this module is constructed by the help of equivalence classes. The points and lines of this space are determined and the points are classified. Finally, for a 3 dimensional projective coordinate space, the incidence matrix for a line that goes through the given points and also all points of a line given with the incidence matrix are found by the use of Maple commands.

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Cite This Study

Erdoğan et al. (Thu,) studied this question.

synapsesocial.com/papers/69a3d887ec16d51705d2f6ff https://doi.org/https://doi.org/10.1063/14930440

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