30 citations · 34 across the 12 of their papers we have counts for
5 papers · 1 filter
On the local k-elasticities of Puiseux monoids
Marly Gotti
If is an atomic monoid and is a nonzero non-unit element of , then the set of lengths of is the set of all possible lengths of factorizations of ,…
How do elements really factor in ?
Scott T. Chapman, Felix Gotti, Marly Gotti
Most undergraduate level abstract algebra texts use as an example of an integral domain which is not a unique factorization domain (or UFD) by exhibiting tw…
The Chain Group of a Forest
Felix Gotti, Marly Gotti
For every labeled forest with set of vertices we can consider the subgroup of the symmetric group that is generated by all the cycles determined by all…
On the molecules of numerical semigroups, Puiseux monoids, and Puiseux algebras
Felix Gotti, Marly Gotti
A molecule is a nonzero non-unit element of an integral domain (resp., commutative cancellative monoid) having a unique factorization into irreducibles (resp., atoms). Here we stud…
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…