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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…