3 papers
math.AC2026
The Bi-UFS Positive Conjecture for algebraic semidomains
A. Bilakanti, Aaditya Bilakanti, Marly Gotti +13
A semidomain is called bi-UFS if both its additive monoid and its nonzero multiplicative monoid are unique factorization monoids. The Bi-UFS Positive Conjecture predicts that the o…
math.NT2025
A Goldbach theorem for Laurent series semidomains
Nathan Kaplan, Harold Polo
A semidomain is a subsemiring of an integral domain. One can think of a semidomain as an integral domain in which additive inverses are no longer required. A semidomain is addi…
math.AC2024
Localization of unique factorization semidomains
Victor Gonzalez, Harold Polo, Pedro Rodriguez
A semidomain is a subsemiring of an integral domain. Within this class, a unique factorization semidomain (UFS) is characterized by the property that every nonzero, nonunit element…