2 papers
math.RA2026
Symmetric Bessmertnyĭ Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach
Soumya Sinha Babu, Aaron Welters
We present a short, purely algebraic proof of the Symmetric Bessmertnyĭ Realization Theorem in the characteristic case recently proved in [EOW26]. Symmetric Bessmertnyĭ realiza…
math.RA2025
Bessmertnyĭ realizations of symmetric multivariate rational matrix functions over any field
Jason Elsinger, Ian Orzel, Aaron Welters
In this paper, we prove the following. First, every square matrix whose entries are multivariable rational functions over a field has a Bessmertnyĭ realization, i.e.,…