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.AC2025
On the set of atoms and strong atoms in additive monoids of cyclic semidomains
Jiya Dani, Anna Deng, Marly Gotti +4
Let be a cancellative and commutative monoid. A non-invertible element of is called an atom (or irreducible element) if it cannot be factored into two non-invertible elemen…
math.AC2025
On three families of dense Puiseux monoids
Scott. T. Chapman, Felix Gotti, Marly Gotti +1
A positive monoid is a submonoid of the nonnegative cone of a linearly ordered abelian group. The positive monoids of rank are called Puiseux monoids, and their atomicity, arit…