3 papers
math.RA2026
Stack Constructions and Equality Cases for Laffey's Bound for Maximal Commutative Matrix Algebras
Małgorzata Nowak-Kępczyk
We study equality cases in Laffey's lower bound for local maximal commutative subalgebras of matrix algebras with cube-zero radical. We introduce a stacking operation that combines…
math.RA2026
On the minimal dimension of maximal commutative subalgebras of
Małgorzata Nowak-Kępczyk
We study the minimal dimension of maximal commutative subalgebras of the matrix algebra over an algebraically closed field. While examples with dimension strictly smaller…
math.DS2025
Stabilization and Regaining Periodicity in Modular Laplacian Dynamics
Małgorzata Nowak-Kępczyk
We study discrete Laplacians on two-dimensional lattices under modular iterations, focusing on the emergence of nontrivial large-scale patterns. While purely binary or constant mod…