1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NT2026
Factorizations in algebraic monogenic semidomains
Jiya Dani, Felix Gotti, Bryan Li +1
We study the additive and multiplicative arithmetic of algebraic monogenic semidomains of the form . We first relate their structure to the conjugates of , characterize whe…
math.AC2025★ 1 cited
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.AC2024
On the Internal Sum of Puiseux Monoids
Jonathan Du, Bryan Li, Shaohuan Zhang
In this paper, we investigate the internal (finite) sum of submonoids of rank- torsion-free abelian groups. These submonoids, when not groups, are isomorphic to nontrivial submo…