2 citations · 2 across the 8 of their papers we have counts for
8 papers
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…
On primality and atomicity of numerical power monoids
Anay Aggarwal, Felix Gotti, Susie Lu
In the first part of this paper, we establish a variation of a recent result by Bienvenu and Geroldinger on the (almost) non-existence of absolute irreducibles in (restricted) powe…
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…
On monoid algebras having every nonempty subset of as a length set
Alfred Geroldinger, Felix Gotti
We construct monoid algebras which satisfy the ascending chain condition on principal ideals and which have the property that every nonempty subset of occurs a…
Riemann zeta functions for Krull monoids
Felix Gotti, Ulrich Krause
The primary purpose of this paper is to generalize the classical Riemann zeta function to the setting of Krull monoids with torsion class groups. We provide a first study of the sa…
On the subatomicity of polynomial semidomains
Felix Gotti, Harold Polo
A semidomain is an additive submonoid of an integral domain that is closed under multiplication and contains the identity element. Although atomicity and divisibility in integral d…