Malgorzata Nowak-Kkepczyk

collaborators

3 papers

math.RA2026

Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds

MaÅgorzata Nowak-KÄpczyk

Let $K$ be an algebraically closed field and let $M_{n} (K)$ denote the algebra of $n \times n$ matrices over $K$ . A classical problem asks for the minimal possible dimension of a maxi…

math.RA2026

On the minimal dimension of maximal commutative subalgebras of $M_{6} (k)$

MaÅgorzata Nowak-KÄpczyk

We study the minimal dimension of maximal commutative subalgebras of the matrix algebra $M_{n} (k)$ over an algebraically closed field. While examples with dimension strictly smaller…

math.DS2025

Stabilization and Regaining Periodicity in Modular Laplacian Dynamics

MaÅgorzata Nowak-KÄpczyk

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…

Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds

On the minimal dimension of maximal commutative subalgebras of M6​(k)

Stabilization and Regaining Periodicity in Modular Laplacian Dynamics

On the minimal dimension of maximal commutative subalgebras of $M_{6} (k)$