3 papers
math.AC2022
Torsionfreeness for divisor class groups of toric rings of integral polytopes
Koji Matsushita
In the present paper, we give some sufficient conditions for to be torsionfree, where denote the divisor class group of…
math.AC2021
Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs
Akihiro Higashitani, Koji Matsushita
Levelness and almost Gorensteinness are well-studied properties on graded rings as a generalized notion of Gorensteinness. In the present paper, we study those properties for the e…
math.AC2020
Conic divisorial ideals and non-commutative crepant resolutions of edge rings of complete multipartite graphs
Akihiro Higashitani, Koji Matsushita
The first goal of the present paper is to study the class groups of the edge rings of complete multipartite graphs, denoted by , where $1 \leq r_1 \leq \…