3 papers
math.AC2026
An elementary algebraic proof of the fundamental theorem of algebra
Katelyn S. Clark, Pace P. Nielsen
We provide a new, elementary, algebraic proof of the fundamental theorem of algebra. Furthermore, the method recovers a more general version of the theorem recently obtained by Jos…
math.RA2025
The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale
Matthew Bolan, Joachim Breitner, Jose Brox +31
We report on the Equational Theories Project (ETP), an online collaborative pilot project to explore new ways to collaborate in mathematics with machine assistance. The project suc…
math.AC2025
Euclidean domains with no multiplicative norms
Caleb J. Dastrup, Pace P. Nielsen
We construct a Euclidean domain with no multiplicative Euclidean norm to a compatibly well-ordered monoid, and hence with no multiplicative Euclidean norm to (under it…