Daniel Vitas

collaborators

3 papers

math.RA2026

Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings

Daniel Vitas

To any essential right ideal $I$ in a bounded HNP ring $R$ we may assign a divisor $\partial I$ , the image of the finite length module $R / I$ in the Grothendieck group $K_0(\text{fl…

math.RA2025

The L'vov-Kaplansky Conjecture for Polynomials of Degree Three

Daniel Vitas

The L'vov-Kaplansky conjecture states that the image of a multilinear noncommutative polynomial $f$ in the matrix algebra $M_{n} (K)$ is a vector space for every $n \in N$ .…

math.RA2025

Skew Laurent Series Ring Over a Dedekind Domain

Daniel Vitas

We show that the formal skew Laurent series ring $R = D ((x; I ¨ ))$ over a commutative Dedekind domain $D$ with an automorphism $I ¨ $ is a noncommutative Dedekind domain. If $Ï…