Damjana Kokol Bukovšek

On diameter of the commuting graph of a full matrix algebra over a finite field

It is shown that the commuting graph of a matrix algebra over a finite field has diameter at most five if the size of the matrices is not a prime nor a square of a prime. It is further shown that the commuting graph of even-sized matrices over finite field has diameter exactly four. This partially proves a conjecture stated by Akbari, Mohammadian, Radjavi, and Raja Linear Algebra Appl. 418 (2006) 161-176.

Jordan triple product homomorphisms on Hermitian matrices of dimension two

We characterise all Jordan triple product homomorphisms, that is, mappings

Jordan triple product homomorphisms on Hermitian matrices to and from dimension one

\Phi

Minimal matrix centralizers over the field ℤ2

satisfying

Matrix semigroup homomorphisms into higher dimensions

\Phi(ABA) = \Phi(A)\Phi(B)\Phi(A)

Linear spaces of symmetric nilpotent matrices

on the set of all Hermitian

Asymmetric linkages: maxmin vs. reflected maxmin copulas

2 \times 2

Asymmetry of copulas arising from shock models

complex matrices.