3 papers
math.AC2026
On near atomicity and a characterization of the FF property
Jonathan Du, Felix Gotti, Leo Hong
A commutative cancellative monoid is atomic if every nonunit factors into atoms, and an integral domain is atomic if its multiplicative monoid of nonzero elements is atomic. Severa…
math.NT2024
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…
math.AC2024
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…