3 papers
math.RA2026
Factorization of central polynomials over division algebras
A. G. Goutor, S. V. Tikhonov
The factorization problem is a classical topic in the theory of polynomial rings. In this paper, we obtain an irreducibility criterion for central polynomials over division algebra…
math.RA2025
Polynomials over division rings
Alina G. Goutor, Sergey V. Tikhonov
We consider properties of polynomials with coefficients in division rings. A theorem on the decomposition of a polynomial with coefficients in an arbitrary division ring is obtaine…
math.RA2024
Roots of polynomials over division rings
Alina G. Goutor, Sergey V. Tikhonov
In this paper, we study properties of polynomials over division rings. Moreover, we present formulas for finding roots of some polynomials