30 citations · 34 across the 12 of their papers we have counts for
15 papers
The Bi-UFS Positive Conjecture for algebraic semidomains
Aaditya Bilakanti, Marly Gotti, Amrit Kandasamy +5
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…
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…
Factorizations in reciprocal Puiseux monoids
Cecilia Aguilera, Marly Gotti, Andre F. Hamelberg
A Puiseux monoid is an additive submonoid of the real line consisting of rationals. We say that a Puiseux monoid is reciprocal if it can be generated by the reciprocals of the term…
Atomicity of Positive Monoids
Scott T. Chapman, Marly Gotti
An additive submonoid of the nonnegative cone of the real line is called a positive monoid. Positive monoids consisting of rational numbers (also known as Puiseux monoids) have bee…
On the set of molecules of numerical and Puiseux monoids
Marly Gotti, Marcos M. Tirador
Additive submonoids of , also known as Puiseux monoids, are not unique factorization monoids (UFMs) in general. Indeed, the only unique factorization Puiseux mo…
Atomicity and Factorization of Puiseux Monoids
Marly Gotti
A Puiseux monoid is an additive submonoid of the nonnegative cone of rational numbers. Although Puiseux monoids are torsion-free rank-one monoids, their atomic structure is rich an…