On polynomials in two projections.
On the Degree of the Minimal Polynomial of the Lyapunov Operator.
On the necessary and sufficient condition for a set of matrices to commute and some further linked results.
Pairs of matrices, one of which commutes with their commutator.
Patterns of commutativity: the commutant of the full pattern.
Products of commuting nilpotent operators.
The group of commutativity preserving maps on strictly upper triangular matrices
Let be the algebra of all strictly upper triangular matrices over a unital commutative ring . A map on is called preserving commutativity in both directions if . In this paper, we prove that each invertible linear map on preserving commutativity in both directions is exactly a quasi-automorphism of , and a quasi-automorphism of can be decomposed into the product of several standard maps, which extains the main result of Y. Cao, Z. Chen and C. Huang (2002) from fields to rings.
The multiplicative matrix commutator equation (A,X)=B
Zaměnitelnost endomorfismů lineárních prostorů
Максимальные пространства кососимметрических и симметрических антикоммутирующих матриц.