Joseph Vulakh

activity

20222025

most citedOn the atomic structure of torsion-free monoids

7 citations · 14 across the 6 of their papers we have counts for

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3 papers · 1 filter

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 $M$ be a cancellative and commutative monoid. A non-invertible element of $M$ is called an atom (or irreducible element) if it cannot be factored into two non-invertible elemen…

math.AC2022★ 7 cited

On the atomic structure of torsion-free monoids

Felix Gotti, Joseph Vulakh

Let $M$ be a cancellative and commutative (additive) monoid. The monoid $M$ is atomic if every non-invertible element can be written as a sum of irreducible elements, which are als…

math.AC2022★ 6 cited

Length-Factoriality and Pure Irreducibility

Alan Bu, Joseph Vulakh, Alex Zhao

An atomic monoid $M$ is called length-factorial if for every non-invertible element $x \in M$ , no two distinct factorizations of $x$ into irreducibles have the same length (i.e., n…