David Dolžan

activity

20102026

most citedDiameters of commuting graphs of matrices over semirings

11 citations · 17 across the 15 of their papers we have counts for

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math.RA2026

Products of Nilpotent and Idempotent Matrices over Finite Local Rings

David Dolžan

Let $R$ be a finite commutative local principal ring. We study products of nilpotent and idempotent matrices in $M_{2} (R)$ . We show that every product of nilpotent and idempotent mat…

math.RA2026

Eigenvalues of the product matrices of finite commutative rings

David Dolžan

The product matrix of a finite commutative ring $R = {x_{1}, x_{2}, \dots, x_{n}}$ and an element $u \in R$ is the matrix $A_{u} (R) = [a_{ij}]$ , where $a_{ij} = 1$ if $x_{i} x_{j} = u$ , and $a_{ij} = 0$ …