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math.AC2026
On Landweber`s unique factorization problem
Adam Jones, Elad Paran
We solve a long-standing open problem, posed by Landweber in 1974: Let be the ring of polynomials in countably many variables over a field . Is the for…
math.AC2025
The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings
Gil Alon, Angelot Behajaina, Elad Paran
We study zeros of polynomials in the multivariate skew polynomial ring , where is an automorphism of a division ring . We prove a generalization of Nog…
math.AC2024
On a problem of Amitsur and Small
Elad Paran
We construct an example of a division ring and a maximal left ideal in the polynomial ring in two central variables over , such that the intersection $M \cap D[…