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

collaborators

Showing 2025Show all

3 papers · 1 filter

math.RA2025

Products of nilpotents in a quaternion ring of odd order

David Dolžan

Let $R$ be a finite commutative local principal ring of cardinality $q^{n}$ , where $q = p^{r}$ for an odd prime $p$ and integer $r$ with $R / J (R) ≃ GF (q)$ . We determine the number…

math.RA2025

Products of idempotents in a quaternion ring

David Dolžan

Let $R$ be a finite commutative local principal ring, and let $H (R)$ denote the corresponding quaternion ring. We show that an element of $H (R)$ is a product of idempotents if and…

math.RA2025

The multiplication probability of a finite ring

David Dolžan

We study the probability that the product of two randomly chosen elements in a finite ring $R$ is equal to some fixed element $x \in R$ . We calculate this probability for semisimpl…