7 citations · 18 across the 18 of their papers we have counts for
23 papers · 1 filter
An unrestricted notion of the finite factorization property
Jonathan Du, Felix Gotti
A nonzero element of an integral domain (or an element of a commutative cancellative monoid) is called atomic if it is a unit or can be written as a finite product of irreducible e…
On the ascent of almost and quasi-atomicity to monoid semidomains
Victor Gonzalez, Felix Gotti, Ishan Panpaliya
A commutative monoid is atomic if every non-invertible element factors into irreducibles (also called atoms), while an integral (semi)domain is atomic if its multiplicative monoid…
On finitary power monoids of linearly orderable monoids
Jiya Dani, Felix Gotti, Leo Hong +2
A commutative monoid is called a linearly orderable monoid if there exists a total order on that is compatible with the monoid operation. The finitary power monoid of a com…
Arithmetic properties encoded in undermonoids
Felix Gotti, Bangzheng Li
Let be a cancellative and commutative monoid. A submonoid of is called an undermonoid if the Grothendieck groups of and coincide. For a given property $\mathfra…
One-dimensional monoid algebras and ascending chains of principal ideals
Alan Bu, Felix Gotti, Bangzheng Li +1
An integral domain is called atomic if every nonzero nonunit of factors into irreducibles, while satisfies the ascending chain condition on principal ideals if every as…
Atomicity in integral domains
Jim Coykendall, Felix Gotti
In algebra, atomicity is the study of divisibility by and factorizations into atoms (also called irreducibles). In one side of the spectrum of atomicity we find the antimatter alge…