15 citations · 18 across the 5 of their papers we have counts for
5 papers
Multiplicative One-Sided Ideal Theory of Hereditary Noetherian Prime Rings
Daniel Vitas
To any essential right ideal in a bounded HNP ring we may assign a divisor , the image of the finite length module in the Grothendieck group $K_0(\text{fl…
Skew Laurent Series Ring Over a Dedekind Domain
Daniel Vitas
We show that the formal skew Laurent series ring over a commutative Dedekind domain with an automorphism is a noncommutative Dedekind domain. If …
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 in the matrix algebra is a vector space for every .…
Images of Multilinear Polynomials in the Algebra of Finitary Matrices Contain Trace Zero Matrices
Daniel Vitas
Let be an infinite field and let be a nonzero multilinear polynomial with coefficients in . We prove that for every positive integer there exists a positive integer…
Multilinear Polynomials Are Surjective on Algebras With Surjective Inner Derivations
Daniel Vitas
Let be a nonzero multilinear noncommutative polynomial. If is a unital algebra with a surjective inner derivation, then every element in can be written…