A point-plane incidence theorem in matrix rings
Nguyen Van The, Le Anh Vinh
TL;DR
This paper establishes a new incidence theorem between points and hyperplanes within matrix rings, extending and generalizing previous results in the field of algebraic combinatorics.
Contribution
It introduces a generalized incidence theorem in matrix rings that broadens the scope of prior specific cases and results.
Findings
Generalizes previous incidence theorems to matrix rings
Provides new bounds for point-hyperplane incidences
Extends the theoretical framework of algebraic combinatorics
Abstract
In this paper, we study a point-hyper plane incidence theorem in matrix rings, which generalizes all previous works in literature of this direction.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Matrix Theory and Algorithms