2 papers
math.RA2025
On the injectivity of evaluation maps induced by polynomials on certain algebras
Frank Kutzschebauch, Tran Nam Son, Pham Duy Vin
We explore the injectivity of the evaluation map eva f,A from Am A to A, where A is an associative algebra over a field F, and f is a polynomial in m \ge 1 variables with coefficie…
math.RA2025
Images of polynomial maps and the Ax-Grothendieck theorem over algebraically closed division rings
Elad Paran, Tran Nam Son
We study the images of polynomial maps over algebraically closed division rings. Our first result generalizes the classical Ax-Grothendieck theorem: We show that if $ f_1, \ldots,…