Yushuang Fan

activity

20102023

most citedPower monoids: A bridge between Factorization Theory and Arithmetic Combinatorics

56 citations · 85 across the 10 of their papers we have counts for

collaborators

Showing math.ACShow all

3 papers · 1 filter

math.AC2016★ 21 cited

Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules

Yushuang Fan, Alfred Geroldinger, Florian Kainrath +1

Let $H$ be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every $k \in N$ , let $…

math.AC2016★ 1 cited

Minimal relations and catenary degrees in Krull monoids

Yushuang Fan, Alfred Geroldinger

Let $H$ be a Krull monoid with class group $G$ . Then $H$ is factorial if and only if $G$ is trivial. Sets of lengths and sets of catenary degrees are well studied invariants descri…

math.AC2015★ 2 cited

Products of $k$ atoms in Krull monoids

Yushuang Fan, Qinghai Zhong

Let $H$ be a Krull monoid with finite class group $G$ such that every class contains a prime divisor. For $k \in N$ , let $U_{k} (H)$ denote the set of all $m\in \mathb…

Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules

Minimal relations and catenary degrees in Krull monoids

Products of k atoms in Krull monoids

Products of $k$ atoms in Krull monoids